58955985 has 96 divisors (see below), whose sum is σ = 121564800. Its totient is φ = 26853120.

The previous prime is 58955971. The next prime is 58955989.

58955985 is a `hidden beast` number, since 5 + 8 + 9 + 559 + 85 = 666.

58955985 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58955985 - 2⁷ = 58955857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58955989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1593387 + ... + 1593423.

It is an arithmetic number, because the mean of its divisors is an integer number (1266300).

Almost surely, 2^58955985 is an apocalyptic number.

58955985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58955985 is an abundant number, since it is smaller than the sum of its proper divisors (62608815).

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

58955985 is a wasteful number, since it uses less digits than its factorization.

58955985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 85 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 54.

The square root of 58955985 is about 7678.2800808514. The cubic root of 58955985 is about 389.2028094602.

The spelling of 58955985 in words is "fifty-eight million, nine hundred fifty-five thousand, nine hundred eighty-five".