559901664 has 324 divisors, whose sum is σ = 1997383752. Its totient is φ = 145704960.

The previous prime is 559901659. The next prime is 559901687. The reversal of 559901664 is 466109955.

It is a happy number.

559901664 is a `hidden beast` number, since 559 + 90 + 1 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 18061329 + ... + 18061359.

Almost surely, 2^559901664 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 559901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998691876).

559901664 is an abundant number, since it is smaller than the sum of its proper divisors (1437482088).

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

559901664 is a wasteful number, since it uses less digits than its factorization.

559901664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 559901664 is about 23662.2413139584. The cubic root of 559901664 is about 824.2088106242.

The spelling of 559901664 in words is "five hundred fifty-nine million, nine hundred one thousand, six hundred sixty-four".