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660960 = 2535517
BaseRepresentation
bin10100001010111100000
31020120200000
42201113200
5132122320
622100000
75421666
oct2412740
91216600
10660960
11411653
1227a600
131a1b01
14132c36
15d0c90
hexa15e0

660960 has 144 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 165888.

The previous prime is 660949. The next prime is 660973. The reversal of 660960 is 69066.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

660960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38872 + ... + 38888.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

2660960 is an apocalyptic number.

660960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328).

660960 is an abundant number, since it is smaller than the sum of its proper divisors (1815696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

660960 is a wasteful number, since it uses less digits than its factorization.

660960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 660960 is about 812.9944649258. The cubic root of 660960 is about 87.1080702195.

The spelling of 660960 in words is "six hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 68 72 80 81 85 90 96 102 108 120 135 136 144 153 160 162 170 180 204 216 240 243 255 270 272 288 306 324 340 360 405 408 432 459 480 486 510 540 544 612 648 680 720 765 810 816 864 918 972 1020 1080 1215 1224 1296 1360 1377 1440 1530 1620 1632 1836 1944 2040 2160 2295 2430 2448 2592 2720 2754 3060 3240 3672 3888 4080 4131 4320 4590 4860 4896 5508 6120 6480 6885 7344 7776 8160 8262 9180 9720 11016 12240 12960 13770 14688 16524 18360 19440 20655 22032 24480 27540 33048 36720 38880 41310 44064 55080 66096 73440 82620 110160 132192 165240 220320 330480 660960