58800960 has 168 divisors, whose sum is σ = 214326216. Its totient is φ = 14745600.

The previous prime is 58800941. The next prime is 58800961. The reversal of 58800960 is 6900885.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 58247424 = 744^2 + 7632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58800961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48360 + ... + 49560.

Almost surely, 2^58800960 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 58800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107163108).

58800960 is an abundant number, since it is smaller than the sum of its proper divisors (155525256).

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

58800960 is a wasteful number, since it uses less digits than its factorization.

58800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 58800960 is about 7668.1784016805. The cubic root of 58800960 is about 388.8613732308.

The spelling of 58800960 in words is "fifty-eight million, eight hundred thousand, nine hundred sixty".