58925664 has 96 divisors (see below), whose sum is σ = 196439040. Its totient is φ = 16834176.

The previous prime is 58925663. The next prime is 58925677. The reversal of 58925664 is 46652985.

58925664 is a `hidden beast` number, since 5 + 89 + 2 + 566 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58925663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177 + ... + 10919.

It is an arithmetic number, because the mean of its divisors is an integer number (2046240).

Almost surely, 2^58925664 is an apocalyptic number.

58925664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98219520).

58925664 is an abundant number, since it is smaller than the sum of its proper divisors (137513376).

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

58925664 is a wasteful number, since it uses less digits than its factorization.

58925664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9755 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 58925664 is about 7676.3053613050. The cubic root of 58925664 is about 389.1360758224.

The spelling of 58925664 in words is "fifty-eight million, nine hundred twenty-five thousand, six hundred sixty-four".