58806720 has 168 divisors, whose sum is σ = 231245664. Its totient is φ = 13436928.

The previous prime is 58806707. The next prime is 58806739. The reversal of 58806720 is 2760885.

58806720 is a `hidden beast` number, since 588 + 0 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 18702 + ... + 21618.

Almost surely, 2^58806720 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 58806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115622832).

58806720 is an abundant number, since it is smaller than the sum of its proper divisors (172438944).

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

58806720 is a wasteful number, since it uses less digits than its factorization.

58806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 58806720 is about 7668.5539705997. The cubic root of 58806720 is about 388.8740701232.

The spelling of 58806720 in words is "fifty-eight million, eight hundred six thousand, seven hundred twenty".