579840120 has 320 divisors, whose sum is σ = 2107607040. Its totient is φ = 142560000.

The previous prime is 579840113. The next prime is 579840127. The reversal of 579840120 is 21048975.

579840120 is a `hidden beast` number, since 579 + 84 + 0 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (579840113) and next prime (579840127).

It is a super-2 number, since 2×579840120² = 672429129523228800, which contains 22 as substring.

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 (579840127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2309995 + ... + 2310245.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2^579840120 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 579840120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

579840120 is an abundant number, since it is smaller than the sum of its proper divisors (1527766920).

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

579840120 is a wasteful number, since it uses less digits than its factorization.

579840120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 579840120 is about 24079.8696009758. The cubic root of 579840120 is about 833.8784564867.

The spelling of 579840120 in words is "five hundred seventy-nine million, eight hundred forty thousand, one hundred twenty".