58618640 has 40 divisors (see below), whose sum is σ = 136782168. Its totient is φ = 23362560.

The previous prime is 58618631. The next prime is 58618661. The reversal of 58618640 is 4681685.

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 58491904 = 356^2 + 7648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×58618640² = 6872289910899200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58618594 and 58618603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23870 + ... + 26210.

Almost surely, 2^58618640 is an apocalyptic number.

It is an amenable number.

58618640 is an abundant number, since it is smaller than the sum of its proper divisors (78163528).

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

58618640 is a wasteful number, since it uses less digits than its factorization.

58618640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 58618640 is about 7656.2810815696. The cubic root of 58618640 is about 388.4590520931.

The spelling of 58618640 in words is "fifty-eight million, six hundred eighteen thousand, six hundred forty".