58320864 has 96 divisors (see below), whose sum is σ = 194423040. Its totient is φ = 16661376.

The previous prime is 58320859. The next prime is 58320877. The reversal of 58320864 is 46802385.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227 + ... + 10869.

It is an arithmetic number, because the mean of its divisors is an integer number (2025240).

Almost surely, 2^58320864 is an apocalyptic number.

58320864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58320864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97211520).

58320864 is an abundant number, since it is smaller than the sum of its proper divisors (136102176).

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

58320864 is a wasteful number, since it uses less digits than its factorization.

58320864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9669 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58320864 is about 7636.8098051477. The cubic root of 58320864 is about 387.8001592493.

The spelling of 58320864 in words is "fifty-eight million, three hundred twenty thousand, eight hundred sixty-four".