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668984880 = 24356614217
BaseRepresentation
bin100111110111111…
…110011000110000
31201121210221201210
4213313332120300
52332230004010
6150214400120
722402164144
oct4767763060
91647727653
10668984880
11313696273
12168060040
13a87a0355
1464bc3224
153dae7b20
hex27dfe630

668984880 has 80 divisors (see below), whose sum is σ = 2077483104. Its totient is φ = 178083840.

The previous prime is 668984879. The next prime is 668984917. The reversal of 668984880 is 88489866.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6689848802 = 895081539337228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 668984880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156532 + ... + 160748.

Almost surely, 2668984880 is an apocalyptic number.

668984880 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 668984880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038741552).

668984880 is an abundant number, since it is smaller than the sum of its proper divisors (1408498224).

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

668984880 is a wasteful number, since it uses less digits than its factorization.

668984880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The square root of 668984880 is about 25864.7420246172. The cubic root of 668984880 is about 874.5918662589.

The spelling of 668984880 in words is "six hundred sixty-eight million, nine hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 661 1322 1983 2644 3305 3966 4217 5288 6610 7932 8434 9915 10576 12651 13220 15864 16868 19830 21085 25302 26440 31728 33736 39660 42170 50604 52880 63255 67472 79320 84340 101208 126510 158640 168680 202416 253020 337360 506040 1012080 2787437 5574874 8362311 11149748 13937185 16724622 22299496 27874370 33449244 41811555 44598992 55748740 66898488 83623110 111497480 133796976 167246220 222994960 334492440 668984880