58085504 has 32 divisors (see below), whose sum is σ = 116888940. Its totient is φ = 28748800.

The previous prime is 58085501. The next prime is 58085563. The reversal of 58085504 is 40558085.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36481600 + 21603904 = 6040^2 + 4648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (58085501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10682 + ... + 15174.

Almost surely, 2^58085504 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 58085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58444470).

58085504 is an abundant number, since it is smaller than the sum of its proper divisors (58803436).

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

58085504 is a wasteful number, since it uses less digits than its factorization.

58085504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 58085504 is about 7621.3846510985. The cubic root of 58085504 is about 387.2777864348.

The spelling of 58085504 in words is "fifty-eight million, eighty-five thousand, five hundred four".