58138560 has 140 divisors (see below), whose sum is σ = 206901288. Its totient is φ = 15496704.

The previous prime is 58138543. The next prime is 58138567. The reversal of 58138560 is 6583185.

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 (58138567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24799 + ... + 27041.

Almost surely, 2^58138560 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 58138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103450644).

58138560 is an abundant number, since it is smaller than the sum of its proper divisors (148762728).

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

58138560 is a wasteful number, since it uses less digits than its factorization.

58138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 58138560 is about 7624.8645889616. The cubic root of 58138560 is about 387.3956652853.

The spelling of 58138560 in words is "fifty-eight million, one hundred thirty-eight thousand, five hundred sixty".