58332960 has 240 divisors, whose sum is σ = 235642176. Its totient is φ = 13312512.

The previous prime is 58332959. The next prime is 58332971. The reversal of 58332960 is 6923385.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 90399 + ... + 91041.

Almost surely, 2^58332960 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 58332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117821088).

58332960 is an abundant number, since it is smaller than the sum of its proper divisors (177309216).

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

58332960 is a wasteful number, since it uses less digits than its factorization.

58332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 58332960 is about 7637.6017178169. The cubic root of 58332960 is about 387.8269678740.

The spelling of 58332960 in words is "fifty-eight million, three hundred thirty-two thousand, nine hundred sixty".