58540032 has 90 divisors (see below), whose sum is σ = 169536458. Its totient is φ = 19464192.

The previous prime is 58540019. The next prime is 58540043. The reversal of 58540032 is 23004585.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 5308416 = 7296^2 + 2304^2 .

It is a super-2 number, since 2×58540032² = 6853870693122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58539978 and 58540005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147258 + ... + 147654.

Almost surely, 2^58540032 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 58540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84768229).

58540032 is an abundant number, since it is smaller than the sum of its proper divisors (110996426).

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

58540032 is an equidigital number, since it uses as much as digits as its factorization.

58540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 58540032 is about 7651.1457965458. The cubic root of 58540032 is about 388.2853323286.

The spelling of 58540032 in words is "fifty-eight million, five hundred forty thousand, thirty-two".