58485960 has 96 divisors (see below), whose sum is σ = 204717240. Its totient is φ = 14395392.

The previous prime is 58485893. The next prime is 58485961. The reversal of 58485960 is 6958485.

58485960 is a `hidden beast` number, since 58 + 4 + 8 + 596 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37527876 + 20958084 = 6126^2 + 4578^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58485961) 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, 1569 + ... + 10928.

Almost surely, 2^58485960 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 58485960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102358620).

58485960 is an abundant number, since it is smaller than the sum of its proper divisors (146231280).

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

58485960 is a wasteful number, since it uses less digits than its factorization.

58485960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12527 (or 12520 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 58485960 is about 7647.6113918007. The cubic root of 58485960 is about 388.1657456037.

The spelling of 58485960 in words is "fifty-eight million, four hundred eighty-five thousand, nine hundred sixty".