579707968 has 56 divisors (see below), whose sum is σ = 1322222400. Its totient is φ = 247024128.

The previous prime is 579707963. The next prime is 579707969. The reversal of 579707968 is 869707975.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×579707968² = 672122656325378048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (579707963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76578 + ... + 83806.

Almost surely, 2^579707968 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 579707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661111200).

579707968 is an abundant number, since it is smaller than the sum of its proper divisors (742514432).

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

579707968 is a wasteful number, since it uses less digits than its factorization.

579707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 58.

The square root of 579707968 is about 24077.1254098158. The cubic root of 579707968 is about 833.8151016211.

The spelling of 579707968 in words is "five hundred seventy-nine million, seven hundred seven thousand, nine hundred sixty-eight".