58663968 has 96 divisors (see below), whose sum is σ = 170517312. Its totient is φ = 17510400.

The previous prime is 58663939. The next prime is 58663993. The reversal of 58663968 is 86936685.

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

It is a super-2 number, since 2×58663968² = 6882922283010048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58663968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76708 + ... + 77468.

It is an arithmetic number, because the mean of its divisors is an integer number (1776222).

Almost surely, 2^58663968 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 58663968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85258656).

58663968 is an abundant number, since it is smaller than the sum of its proper divisors (111853344).

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

58663968 is a wasteful number, since it uses less digits than its factorization.

58663968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 58663968 is about 7659.2406934369. The cubic root of 58663968 is about 388.5591541270.

The spelling of 58663968 in words is "fifty-eight million, six hundred sixty-three thousand, nine hundred sixty-eight".