59404968 has 128 divisors (see below), whose sum is σ = 190944000. Its totient is φ = 16761600.

The previous prime is 59404967. The next prime is 59404979. The reversal of 59404968 is 86940495.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (59404967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152518 + ... + 152906.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^59404968 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 59404968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95472000).

59404968 is an abundant number, since it is smaller than the sum of its proper divisors (131539032).

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

59404968 is a wasteful number, since it uses less digits than its factorization.

59404968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 59404968 is about 7707.4618390233. The cubic root of 59404968 is about 390.1883114261.

The spelling of 59404968 in words is "fifty-nine million, four hundred four thousand, nine hundred sixty-eight".