679185920 has 160 divisors (see below), whose sum is σ = 1880879616. Its totient is φ = 230400000.

The previous prime is 679185919. The next prime is 679186009. The reversal of 679185920 is 29581976.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×679185920² = 922587027852492800, which contains 22 as substring.

It is a congruent number.

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, 2705795 + ... + 2706045.

Almost surely, 2^679185920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940439808).

679185920 is an abundant number, since it is smaller than the sum of its proper divisors (1201693696).

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

679185920 is a wasteful number, since it uses less digits than its factorization.

679185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 679185920 is about 26061.1956747959. The cubic root of 679185920 is about 879.0148755660.

The spelling of 679185920 in words is "six hundred seventy-nine million, one hundred eighty-five thousand, nine hundred twenty".