532559664 has 640 divisors, whose sum is σ = 2133196800. Its totient is φ = 123171840.

The previous prime is 532559659. The next prime is 532559693. The reversal of 532559664 is 466955235.

532559664 is a `hidden beast` number, since 5 + 32 + 559 + 6 + 64 = 666.

It is a super-3 number, since 3×532559664³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17179329 + ... + 17179359.

It is an arithmetic number, because the mean of its divisors is an integer number (3333120).

Almost surely, 2^532559664 is an apocalyptic number.

532559664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532559664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066598400).

532559664 is an abundant number, since it is smaller than the sum of its proper divisors (1600637136).

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

532559664 is a wasteful number, since it uses less digits than its factorization.

532559664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 532559664 is about 23077.2542560851. The cubic root of 532559664 is about 810.5679418792.

The spelling of 532559664 in words is "five hundred thirty-two million, five hundred fifty-nine thousand, six hundred sixty-four".