58006656 has 96 divisors (see below), whose sum is σ = 170947920. Its totient is φ = 18869760.

The previous prime is 58006579. The next prime is 58006661. The reversal of 58006656 is 65660085.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 58006656.

It is an unprimeable number.

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, 48951 + ... + 50121.

Almost surely, 2^58006656 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 58006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85473960).

58006656 is an abundant number, since it is smaller than the sum of its proper divisors (112941264).

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

58006656 is a wasteful number, since it uses less digits than its factorization.

58006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1219 counting only the distinct ones).

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

The square root of 58006656 is about 7616.2100811362. The cubic root of 58006656 is about 387.1024707119.

The spelling of 58006656 in words is "fifty-eight million, six thousand, six hundred fifty-six".