59791968 has 72 divisors (see below), whose sum is σ = 175921200. Its totient is φ = 19240704.

The previous prime is 59791961. The next prime is 59791969. The reversal of 59791968 is 86919795.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59791961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4773 + ... + 11931.

It is an arithmetic number, because the mean of its divisors is an integer number (2443350).

Almost surely, 2^59791968 is an apocalyptic number.

59791968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87960600).

59791968 is an abundant number, since it is smaller than the sum of its proper divisors (116129232).

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

59791968 is a wasteful number, since it uses less digits than its factorization.

59791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204 (or 7193 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 59791968 is about 7732.5266245904. The cubic root of 59791968 is about 391.0337858879.

The spelling of 59791968 in words is "fifty-nine million, seven hundred ninety-one thousand, nine hundred sixty-eight".