59148960 has 96 divisors (see below), whose sum is σ = 200672640. Its totient is φ = 14558208.

The previous prime is 59148953. The next prime is 59149003. The reversal of 59148960 is 6984195.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501 + ... + 10979.

It is an arithmetic number, because the mean of its divisors is an integer number (2090340).

Almost surely, 2^59148960 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 59148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100336320).

59148960 is an abundant number, since it is smaller than the sum of its proper divisors (141523680).

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

59148960 is a wasteful number, since it uses less digits than its factorization.

59148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9510 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 59148960 is about 7690.8361053919. The cubic root of 59148960 is about 389.6269937882.

The spelling of 59148960 in words is "fifty-nine million, one hundred forty-eight thousand, nine hundred sixty".