58981120 has 144 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 20787200.

The previous prime is 58981093. The next prime is 58981121. The reversal of 58981120 is 2118985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58981121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830685 + ... + 830755.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 2^58981120 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 58981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

58981120 is an abundant number, since it is smaller than the sum of its proper divisors (99960320).

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

58981120 is a wasteful number, since it uses less digits than its factorization.

58981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 58981120 is about 7679.9166662145. The cubic root of 58981120 is about 389.2581118621.

The spelling of 58981120 in words is "fifty-eight million, nine hundred eighty-one thousand, one hundred twenty".