58523904 has 72 divisors (see below), whose sum is σ = 173085920. Its totient is φ = 19505664.

The previous prime is 58523873. The next prime is 58523917. The reversal of 58523904 is 40932585.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2679 + ... + 11145.

Almost surely, 2^58523904 is an apocalyptic number.

58523904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86542960).

58523904 is an abundant number, since it is smaller than the sum of its proper divisors (114562016).

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

58523904 is an equidigital number, since it uses as much as digits as its factorization.

58523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 58523904 is about 7650.0917641555. The cubic root of 58523904 is about 388.2496710281.

The spelling of 58523904 in words is "fifty-eight million, five hundred twenty-three thousand, nine hundred four".