609833664 has 112 divisors (see below), whose sum is σ = 1955840640. Its totient is φ = 184792320.

The previous prime is 609833647. The next prime is 609833669. The reversal of 609833664 is 466338906.

609833664 is a `hidden beast` number, since 609 + 8 + 3 + 36 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (609833669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2967 + ... + 35049.

Almost surely, 2^609833664 is an apocalyptic number.

609833664 is a gapful number since it is divisible by the number (64) 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 609833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977920320).

609833664 is an abundant number, since it is smaller than the sum of its proper divisors (1346006976).

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

609833664 is a wasteful number, since it uses less digits than its factorization.

609833664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32115 (or 32099 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 609833664 is about 24694.8104669787. The cubic root of 609833664 is about 848.0155153207.

The spelling of 609833664 in words is "six hundred nine million, eight hundred thirty-three thousand, six hundred sixty-four".