58412816 has 80 divisors (see below), whose sum is σ = 149454720. Its totient is φ = 21411840.

The previous prime is 58412813. The next prime is 58412819. The reversal of 58412816 is 61821485.

It is an interprime number because it is at equal distance from previous prime (58412813) and next prime (58412819).

It is not an unprimeable number, because it can be changed into a prime (58412813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19550 + ... + 22338.

It is an arithmetic number, because the mean of its divisors is an integer number (1868184).

Almost surely, 2^58412816 is an apocalyptic number.

58412816 is a gapful number since it is divisible by the number (56) 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 58412816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

58412816 is an abundant number, since it is smaller than the sum of its proper divisors (91041904).

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

58412816 is a wasteful number, since it uses less digits than its factorization.

58412816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2826 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 58412816 is about 7642.8277489421. The cubic root of 58412816 is about 388.0038615126.

The spelling of 58412816 in words is "fifty-eight million, four hundred twelve thousand, eight hundred sixteen".