58375680 has 160 divisors (see below), whose sum is σ = 203879808. Its totient is φ = 14131200.

The previous prime is 58375673. The next prime is 58375699. The reversal of 58375680 is 8657385.

58375680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84135 + ... + 84825.

Almost surely, 2^58375680 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 58375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101939904).

58375680 is an abundant number, since it is smaller than the sum of its proper divisors (145504128).

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

58375680 is a wasteful number, since it uses less digits than its factorization.

58375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 58375680 is about 7640.3978953979. The cubic root of 58375680 is about 387.9216194810.

The spelling of 58375680 in words is "fifty-eight million, three hundred seventy-five thousand, six hundred eighty".