59004960 has 192 divisors, whose sum is σ = 225130752. Its totient is φ = 12681216.

The previous prime is 59004947. The next prime is 59004961. The reversal of 59004960 is 6940095.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59004961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56604 + ... + 57636.

It is an arithmetic number, because the mean of its divisors is an integer number (1172556).

Almost surely, 2^59004960 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 59004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112565376).

59004960 is an abundant number, since it is smaller than the sum of its proper divisors (166125792).

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

59004960 is a wasteful number, since it uses less digits than its factorization.

59004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 59004960 is about 7681.4686095824. The cubic root of 59004960 is about 389.3105504693.

The spelling of 59004960 in words is "fifty-nine million, four thousand, nine hundred sixty".