59864960 has 64 divisors (see below), whose sum is σ = 144860400. Its totient is φ = 23654400.

The previous prime is 59864947. The next prime is 59864977. The reversal of 59864960 is 6946895.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56435 + ... + 57485.

Almost surely, 2^59864960 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 59864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72430200).

59864960 is an abundant number, since it is smaller than the sum of its proper divisors (84995440).

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

59864960 is a wasteful number, since it uses less digits than its factorization.

59864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 59864960 is about 7737.2449877201. The cubic root of 59864960 is about 391.1928414290.

The spelling of 59864960 in words is "fifty-nine million, eight hundred sixty-four thousand, nine hundred sixty".