59504960 has 56 divisors (see below), whose sum is σ = 149169120. Its totient is φ = 22546944.

The previous prime is 59504909. The next prime is 59504993. The reversal of 59504960 is 6940595.

59504960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187 + ... + 10973.

Almost surely, 2^59504960 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 59504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74584560).

59504960 is an abundant number, since it is smaller than the sum of its proper divisors (89664160).

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

59504960 is a wasteful number, since it uses less digits than its factorization.

59504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 59504960 is about 7713.9458126176. The cubic root of 59504960 is about 390.4071137734.

The spelling of 59504960 in words is "fifty-nine million, five hundred four thousand, nine hundred sixty".