307664 has 40 divisors (see below), whose sum is σ = 708288. Its totient is φ = 126720.

The previous prime is 307651. The next prime is 307669. The reversal of 307664 is 466703.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 307664.

It is not an unprimeable number, because it can be changed into a prime (307669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4559 + ... + 4625.

2³⁰⁷⁶⁶⁴ 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 307664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354144).

307664 is an abundant number, since it is smaller than the sum of its proper divisors (400624).

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

307664 is a wasteful number, since it uses less digits than its factorization.

307664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 307664 is about 554.6746794293. The cubic root of 307664 is about 67.5085677282.

The spelling of 307664 in words is "three hundred seven thousand, six hundred sixty-four".