59065664 has 56 divisors (see below), whose sum is σ = 138306048. Its totient is φ = 24491520.

The previous prime is 59065639. The next prime is 59065697. The reversal of 59065664 is 46656095.

It is a tau number, because it is divible by the number of its divisors (56).

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, 11762 + ... + 16014.

Almost surely, 2^59065664 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 59065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69153024).

59065664 is an abundant number, since it is smaller than the sum of its proper divisors (79240384).

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

59065664 is a wasteful number, since it uses less digits than its factorization.

59065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 59065664 is about 7685.4189215683. The cubic root of 59065664 is about 389.4440116105. Note that the first 3 decimals are identical.

The spelling of 59065664 in words is "fifty-nine million, sixty-five thousand, six hundred sixty-four".