306929664 has 168 divisors, whose sum is σ = 930292272. Its totient is φ = 97320960.

The previous prime is 306929627. The next prime is 306929671. The reversal of 306929664 is 466929603.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1695654 + ... + 1695834.

It is an arithmetic number, because the mean of its divisors is an integer number (5537454).

Almost surely, 2^306929664 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 306929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465146136).

306929664 is an abundant number, since it is smaller than the sum of its proper divisors (623362608).

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

306929664 is a wasteful number, since it uses less digits than its factorization.

306929664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 306929664 is about 17519.4082091833. The cubic root of 306929664 is about 674.5481486227.

The spelling of 306929664 in words is "three hundred six million, nine hundred twenty-nine thousand, six hundred sixty-four".