579661920 has 288 divisors, whose sum is σ = 2174503968. Its totient is φ = 145317888.

The previous prime is 579661877. The next prime is 579661921. The reversal of 579661920 is 29166975.

It is a happy number.

579661920 is a `hidden beast` number, since 5 + 7 + 9 + 6 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579661921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660522 + ... + 661398.

It is an arithmetic number, because the mean of its divisors is an integer number (7550361).

Almost surely, 2^579661920 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 579661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087251984).

579661920 is an abundant number, since it is smaller than the sum of its proper divisors (1594842048).

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

579661920 is a wasteful number, since it uses less digits than its factorization.

579661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 579661920 is about 24076.1691304908. The cubic root of 579661920 is about 833.7930235308.

The spelling of 579661920 in words is "five hundred seventy-nine million, six hundred sixty-one thousand, nine hundred twenty".