59611968 has 168 divisors, whose sum is σ = 194157600. Its totient is φ = 17335296.

The previous prime is 59611967. The next prime is 59611973. The reversal of 59611968 is 86911695.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59611961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142063 + ... + 142481.

It is an arithmetic number, because the mean of its divisors is an integer number (1155700).

Almost surely, 2^59611968 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 59611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97078800).

59611968 is an abundant number, since it is smaller than the sum of its proper divisors (134545632).

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

59611968 is a wasteful number, since it uses less digits than its factorization.

59611968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 456 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 59611968 is about 7720.8787064686. The cubic root of 59611968 is about 390.6409971731.

The spelling of 59611968 in words is "fifty-nine million, six hundred eleven thousand, nine hundred sixty-eight".