58701664 has 48 divisors (see below), whose sum is σ = 133975296. Its totient is φ = 24796800.

The previous prime is 58701653. The next prime is 58701691. The reversal of 58701664 is 46610785.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14059 + ... + 17749.

It is an arithmetic number, because the mean of its divisors is an integer number (2791152).

Almost surely, 2^58701664 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 58701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66987648).

58701664 is an abundant number, since it is smaller than the sum of its proper divisors (75273632).

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

58701664 is a wasteful number, since it uses less digits than its factorization.

58701664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 58701664 is about 7661.7011165928. The cubic root of 58701664 is about 388.6423624415.

The spelling of 58701664 in words is "fifty-eight million, seven hundred one thousand, six hundred sixty-four".