58099680 has 120 divisors (see below), whose sum is σ = 205089192. Its totient is φ = 15489792.

The previous prime is 58099651. The next prime is 58099697. The reversal of 58099680 is 8699085.

58099680 is a `hidden beast` number, since 580 + 9 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×58099680² = 6751145632204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10719 + ... + 15201.

Almost surely, 2^58099680 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 58099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102544596).

58099680 is an abundant number, since it is smaller than the sum of its proper divisors (146989512).

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

58099680 is a wasteful number, since it uses less digits than its factorization.

58099680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 58099680 is about 7622.3146090935. The cubic root of 58099680 is about 387.3092894373.

The spelling of 58099680 in words is "fifty-eight million, ninety-nine thousand, six hundred eighty".