58808160 has 96 divisors (see below), whose sum is σ = 205843680. Its totient is φ = 15681024.

The previous prime is 58808129. The next prime is 58808161. The reversal of 58808160 is 6180885.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58808161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2487 + ... + 11126.

It is an arithmetic number, because the mean of its divisors is an integer number (2144205).

Almost surely, 2^58808160 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 58808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102921840).

58808160 is an abundant number, since it is smaller than the sum of its proper divisors (147035520).

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

58808160 is a wasteful number, since it uses less digits than its factorization.

58808160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13637 (or 13623 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 58808160 is about 7668.6478599555. The cubic root of 58808160 is about 388.8772442167.

The spelling of 58808160 in words is "fifty-eight million, eight hundred eight thousand, one hundred sixty".