58964880 has 80 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 14513664.

The previous prime is 58964879. The next prime is 58964887. The reversal of 58964880 is 8846985.

58964880 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 (80).

It is a super-3 number, since 3×58964880³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (58964887) by changing a digit.

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, 6330 + ... + 12569.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^58964880 is an apocalyptic number.

It is an amenable number.

58964880 is an abundant number, since it is smaller than the sum of its proper divisors (137897520).

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

58964880 is a wasteful number, since it uses less digits than its factorization.

58964880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18928 (or 18922 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 58964880 is about 7678.8592902852. The cubic root of 58964880 is about 389.2223821686. Note that the first 3 decimals are identical.

The spelling of 58964880 in words is "fifty-eight million, nine hundred sixty-four thousand, eight hundred eighty".