59679664 has 60 divisors (see below), whose sum is σ = 132069672. Its totient is φ = 25907200.

The previous prime is 59679661. The next prime is 59679671. The reversal of 59679664 is 46697695.

59679664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (59679661) 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, 92784 + ... + 93424.

Almost surely, 2^59679664 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 59679664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66034836).

59679664 is an abundant number, since it is smaller than the sum of its proper divisors (72390008).

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

59679664 is a wasteful number, since it uses less digits than its factorization.

59679664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 677 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 52.

The square root of 59679664 is about 7725.2614195249. The cubic root of 59679664 is about 390.7888132901.

The spelling of 59679664 in words is "fifty-nine million, six hundred seventy-nine thousand, six hundred sixty-four".