59801664 has 168 divisors, whose sum is σ = 182209440. Its totient is φ = 17252352.

The previous prime is 59801653. The next prime is 59801669. The reversal of 59801664 is 46610895.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (59801669) 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, 616464 + ... + 616560.

It is an arithmetic number, because the mean of its divisors is an integer number (1084580).

Almost surely, 2^59801664 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 59801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91104720).

59801664 is an abundant number, since it is smaller than the sum of its proper divisors (122407776).

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

59801664 is a wasteful number, since it uses less digits than its factorization.

59801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 59801664 is about 7733.1535611289. The cubic root of 59801664 is about 391.0549217182.

The spelling of 59801664 in words is "fifty-nine million, eight hundred one thousand, six hundred sixty-four".