58641408 has 220 divisors, whose sum is σ = 202112592. Its totient is φ = 16588800.

The previous prime is 58641397. The next prime is 58641413. The reversal of 58641408 is 80414685.

58641408 is a `hidden beast` number, since 5 + 8 + 641 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 580558 + ... + 580658.

Almost surely, 2^58641408 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 58641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101056296).

58641408 is an abundant number, since it is smaller than the sum of its proper divisors (143471184).

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

58641408 is a wasteful number, since it uses less digits than its factorization.

58641408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58641408 is about 7657.7678209776. The cubic root of 58641408 is about 388.5093392308.

It can be divided in two parts, 58641 and 408, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 58641408 in words is "fifty-eight million, six hundred forty-one thousand, four hundred eight".