58970016 has 72 divisors (see below), whose sum is σ = 191659104. Its totient is φ = 16848000.

The previous prime is 58970003. The next prime is 58970017. The reversal of 58970016 is 61007985.

58970016 is a `hidden beast` number, since 589 + 70 + 0 + 1 + 6 = 666.

58970016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (58970017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12610 + ... + 16641.

It is an arithmetic number, because the mean of its divisors is an integer number (2661932).

Almost surely, 2^58970016 is an apocalyptic number.

58970016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

58970016 is an abundant number, since it is smaller than the sum of its proper divisors (132689088).

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

58970016 is a wasteful number, since it uses less digits than its factorization.

58970016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29274 (or 29263 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 58970016 is about 7679.1937076753. The cubic root of 58970016 is about 389.2336826134.

The spelling of 58970016 in words is "fifty-eight million, nine hundred seventy thousand, sixteen".