306893664 has 288 divisors, whose sum is σ = 1137628800. Its totient is φ = 79591680.

The previous prime is 306893647. The next prime is 306893677. The reversal of 306893664 is 466398603.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465367 + ... + 466025.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2^306893664 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 306893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568814400).

306893664 is an abundant number, since it is smaller than the sum of its proper divisors (830735136).

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

306893664 is a wasteful number, since it uses less digits than its factorization.

306893664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 682 counting only the distinct ones).

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

The square root of 306893664 is about 17518.3807470896. The cubic root of 306893664 is about 674.5217748465.

The spelling of 306893664 in words is "three hundred six million, eight hundred ninety-three thousand, six hundred sixty-four".