59313664 has 80 divisors (see below), whose sum is σ = 126884736. Its totient is φ = 27648000.

The previous prime is 59313659. The next prime is 59313677. The reversal of 59313664 is 46631395.

It is a super-2 number, since 2×59313664² = 7036221474209792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 587214 + ... + 587314.

Almost surely, 2^59313664 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 59313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63442368).

59313664 is an abundant number, since it is smaller than the sum of its proper divisors (67571072).

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

59313664 is a wasteful number, since it uses less digits than its factorization.

59313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The square root of 59313664 is about 7701.5364700818. The cubic root of 59313664 is about 389.9883055884.

The spelling of 59313664 in words is "fifty-nine million, three hundred thirteen thousand, six hundred sixty-four".