58530816 has 176 divisors, whose sum is σ = 181773600. Its totient is φ = 18579456.

The previous prime is 58530809. The next prime is 58530817. The reversal of 58530816 is 61803585.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58530817) 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 15 ways as a sum of consecutive naturals, for example, 801756 + ... + 801828.

Almost surely, 2^58530816 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 58530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90886800).

58530816 is an abundant number, since it is smaller than the sum of its proper divisors (123242784).

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

58530816 is a wasteful number, since it uses less digits than its factorization.

58530816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 58530816 is about 7650.5435101044. The cubic root of 58530816 is about 388.2649552448.

The spelling of 58530816 in words is "fifty-eight million, five hundred thirty thousand, eight hundred sixteen".