58284960 has 96 divisors (see below), whose sum is σ = 189568512. Its totient is φ = 15037440.

The previous prime is 58284931. The next prime is 58284971. The reversal of 58284960 is 6948285.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12922 + ... + 16838.

It is an arithmetic number, because the mean of its divisors is an integer number (1974672).

Almost surely, 2^58284960 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 58284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94784256).

58284960 is an abundant number, since it is smaller than the sum of its proper divisors (131283552).

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

58284960 is a wasteful number, since it uses less digits than its factorization.

58284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 58284960 is about 7634.4587234460. The cubic root of 58284960 is about 387.7205626054.

The spelling of 58284960 in words is "fifty-eight million, two hundred eighty-four thousand, nine hundred sixty".