506585664 has 140 divisors (see below), whose sum is σ = 1617407484. Its totient is φ = 155851776.

The previous prime is 506585587. The next prime is 506585707. The reversal of 506585664 is 466585605.

It is a happy number.

506585664 is a `hidden beast` number, since 5 + 0 + 6 + 585 + 6 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 288728064 + 217857600 = 16992^2 + 14760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63634 + ... + 71150.

Almost surely, 2^506585664 is an apocalyptic number.

506585664 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 506585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808703742).

506585664 is an abundant number, since it is smaller than the sum of its proper divisors (1110821820).

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

506585664 is a wasteful number, since it uses less digits than its factorization.

506585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 506585664 is about 22507.4579639727. The cubic root of 506585664 is about 797.1700342550.

The spelling of 506585664 in words is "five hundred six million, five hundred eighty-five thousand, six hundred sixty-four".