58085632 has 36 divisors (see below), whose sum is σ = 126490896. Its totient is φ = 26401280.

The previous prime is 58085611. The next prime is 58085633. The reversal of 58085632 is 23658085.

It is a junction number, because it is equal to n+sod(n) for n = 58085591 and 58085600.

It is not an unprimeable number, because it can be changed into a prime (58085633) 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, 7498 + ... + 13129.

It is an arithmetic number, because the mean of its divisors is an integer number (3513636).

Almost surely, 2^58085632 is an apocalyptic number.

It is an amenable number.

58085632 is an abundant number, since it is smaller than the sum of its proper divisors (68405264).

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

58085632 is a wasteful number, since it uses less digits than its factorization.

58085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20654 (or 20640 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 58085632 is about 7621.3930485181. The cubic root of 58085632 is about 387.2780709092.

The spelling of 58085632 in words is "fifty-eight million, eighty-five thousand, six hundred thirty-two".