58064400 has 135 divisors (see below), whose sum is σ = 203098701. Its totient is φ = 15361920.

The previous prime is 58064389. The next prime is 58064417. The reversal of 58064400 is 446085.

The square root of 58064400 is 7620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20903184 + 37161216 = 4572^2 + 6096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 457137 + ... + 457263.

Almost surely, 2^58064400 is an apocalyptic number.

58064400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58064400 is the 7620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58064400

58064400 is an abundant number, since it is smaller than the sum of its proper divisors (145034301).

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

58064400 is a wasteful number, since it uses less digits than its factorization.

58064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 58064400 is about 387.2308779988.

It can be divided in two parts, 580 and 64400, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 58064400 in words is "fifty-eight million, sixty-four thousand, four hundred".