58730496 has 144 divisors (see below), whose sum is σ = 174283200. Its totient is φ = 17571840.

The previous prime is 58730489. The next prime is 58730509. The reversal of 58730496 is 69403785.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743385 + ... + 743463.

It is an arithmetic number, because the mean of its divisors is an integer number (1210300).

Almost surely, 2^58730496 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 58730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87141600).

58730496 is an abundant number, since it is smaller than the sum of its proper divisors (115552704).

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

58730496 is a wasteful number, since it uses less digits than its factorization.

58730496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 58730496 is about 7663.5824520912. The cubic root of 58730496 is about 388.7059807548.

Subtracting 58730496 from its reverse (69403785), we obtain a square (10673289 = 3267²).

The spelling of 58730496 in words is "fifty-eight million, seven hundred thirty thousand, four hundred ninety-six".