58468720 has 40 divisors (see below), whose sum is σ = 136303776. Its totient is φ = 23324928.

The previous prime is 58468703. The next prime is 58468741. The reversal of 58468720 is 2786485.

58468720 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39514 + ... + 40966.

It is a vampire number, since it can be written as 7265 ⋅ 8048 (with its own digits).

Almost surely, 2^58468720 is an apocalyptic number.

It is an amenable number.

58468720 is an abundant number, since it is smaller than the sum of its proper divisors (77835056).

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

58468720 is a wasteful number, since it uses less digits than its factorization.

58468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 58468720 is about 7646.4841594029. The cubic root of 58468720 is about 388.1276017763.

The spelling of 58468720 in words is "fifty-eight million, four hundred sixty-eight thousand, seven hundred twenty".