58313640 has 128 divisors (see below), whose sum is σ = 218142720. Its totient is φ = 12115200.

The previous prime is 58313627. The next prime is 58313659. The reversal of 58313640 is 4631385.

It is a super-2 number, since 2×58313640² = 6800961220099200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 58313598 and 58313607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6085 + ... + 12395.

It is an arithmetic number, because the mean of its divisors is an integer number (1704240).

Almost surely, 2^58313640 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 58313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109071360).

58313640 is an abundant number, since it is smaller than the sum of its proper divisors (159829080).

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

58313640 is a wasteful number, since it uses less digits than its factorization.

58313640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 58313640 is about 7636.3368181347. The cubic root of 58313640 is about 387.7841467749.

The spelling of 58313640 in words is "fifty-eight million, three hundred thirteen thousand, six hundred forty".