58974432 has 72 divisors (see below), whose sum is σ = 170194248. Its totient is φ = 17867520.

The previous prime is 58974413. The next prime is 58974439. The reversal of 58974432 is 23447985.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58974439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9078 + ... + 14154.

It is an arithmetic number, because the mean of its divisors is an integer number (2363809).

Almost surely, 2^58974432 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 58974432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85097124).

58974432 is an abundant number, since it is smaller than the sum of its proper divisors (111219816).

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

58974432 is a wasteful number, since it uses less digits than its factorization.

58974432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5093 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 58974432 is about 7679.4812324792. The cubic root of 58974432 is about 389.2433983591.

The spelling of 58974432 in words is "fifty-eight million, nine hundred seventy-four thousand, four hundred thirty-two".