58745664 has 84 divisors (see below), whose sum is σ = 170647360. Its totient is φ = 19319040.

The previous prime is 58745653. The next prime is 58745671. The reversal of 58745664 is 46654785.

58745664 is a `hidden beast` number, since 5 + 87 + 4 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44859 + ... + 46149.

Almost surely, 2^58745664 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 58745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85323680).

58745664 is an abundant number, since it is smaller than the sum of its proper divisors (111901696).

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

58745664 is a wasteful number, since it uses less digits than its factorization.

58745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1375 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 58745664 is about 7664.5720037064. The cubic root of 58745664 is about 388.7394408549.

The spelling of 58745664 in words is "fifty-eight million, seven hundred forty-five thousand, six hundred sixty-four".