58680320 has 88 divisors (see below), whose sum is σ = 143601144. Its totient is φ = 23003136.

The previous prime is 58680319. The next prime is 58680343. The reversal of 58680320 is 2308685.

It can be written as a sum of positive squares in 4 ways, for example, as 3564544 + 55115776 = 1888^2 + 7424^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373682 + ... + 373838.

Almost surely, 2^58680320 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 58680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71800572).

58680320 is an abundant number, since it is smaller than the sum of its proper divisors (84920824).

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

58680320 is a wasteful number, since it uses less digits than its factorization.

58680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 58680320 is about 7660.3080877991. The cubic root of 58680320 is about 388.5952531116.

The spelling of 58680320 in words is "fifty-eight million, six hundred eighty thousand, three hundred twenty".