58660992 has 96 divisors (see below), whose sum is σ = 181834380. Its totient is φ = 18044928.

The previous prime is 58660991. The next prime is 58660993. The reversal of 58660992 is 29906685.

58660992 is a `hidden beast` number, since 586 + 60 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (58660991) and next prime (58660993).

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 46656 = 7656^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×58660992² = 6882223964848128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58660991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13018 + ... + 16934.

Almost surely, 2^58660992 is an apocalyptic number.

58660992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90917190).

58660992 is an abundant number, since it is smaller than the sum of its proper divisors (123173388).

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

58660992 is a wasteful number, since it uses less digits than its factorization.

58660992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 58660992 is about 7659.0464158406. The cubic root of 58660992 is about 388.5525835316.

The spelling of 58660992 in words is "fifty-eight million, six hundred sixty thousand, nine hundred ninety-two".