679638960 has 960 divisors, whose sum is σ = 3275790336. Its totient is φ = 121651200.

The previous prime is 679638959. The next prime is 679638997. The reversal of 679638960 is 69836976.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 679638897 and 679638906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16576540 + ... + 16576580.

Almost surely, 2^679638960 is an apocalyptic number.

679638960 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 679638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637895168).

679638960 is an abundant number, since it is smaller than the sum of its proper divisors (2596151376).

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

679638960 is a wasteful number, since it uses less digits than its factorization.

679638960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 679638960 is about 26069.8860757004. The cubic root of 679638960 is about 879.2102763520.

It can be divided in two parts, 6796389 and 60, that added together give a square (6796449 = 2607²).

The spelling of 679638960 in words is "six hundred seventy-nine million, six hundred thirty-eight thousand, nine hundred sixty".