59979920 has 240 divisors, whose sum is σ = 192362688. Its totient is φ = 17095680.

The previous prime is 59979919. The next prime is 59979937. The reversal of 59979920 is 2997995.

It is an unprimeable number.

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, 560507 + ... + 560613.

Almost surely, 2^59979920 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 59979920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96181344).

59979920 is an abundant number, since it is smaller than the sum of its proper divisors (132382768).

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

59979920 is a wasteful number, since it uses less digits than its factorization.

59979920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 50.

The square root of 59979920 is about 7744.6704255249. The cubic root of 59979920 is about 391.4430867206.

It can be divided in two parts, 59 and 979920, that added together give a palindrome (979979).

The spelling of 59979920 in words is "fifty-nine million, nine hundred seventy-nine thousand, nine hundred twenty".