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671074560 = 28325134481
BaseRepresentation
bin100111111111111…
…100100100000000
31201202202010020100
4213333330210000
52333243341220
6150331242400
722426016412
oct4777744400
91652663210
10671074560
11314893282
121688a9400
13a9052550
14651a89b2
153ddabd90
hex27ffc900

671074560 has 216 divisors, whose sum is σ = 2501009784. Its totient is φ = 165150720.

The previous prime is 671074553. The next prime is 671074567. The reversal of 671074560 is 65470176.

It is an interprime number because it is at equal distance from previous prime (671074553) and next prime (671074567).

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 620607744 = 7104^2 + 24912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671074567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147520 + ... + 152000.

It is an arithmetic number, because the mean of its divisors is an integer number (11578749).

Almost surely, 2671074560 is an apocalyptic number.

671074560 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 671074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250504892).

671074560 is an abundant number, since it is smaller than the sum of its proper divisors (1829935224).

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

671074560 is a wasteful number, since it uses less digits than its factorization.

671074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 671074560 is about 25905.1068324375. The cubic root of 671074560 is about 875.5015616949.

The spelling of 671074560 in words is "six hundred seventy-one million, seventy-four thousand, five hundred sixty".