306769664 has 72 divisors (see below), whose sum is σ = 636133680. Its totient is φ = 147529728.

The previous prime is 306769657. The next prime is 306769681. The reversal of 306769664 is 466967603.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1316492 + ... + 1316724.

It is an arithmetic number, because the mean of its divisors is an integer number (8835190).

Almost surely, 2^306769664 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 306769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318066840).

306769664 is an abundant number, since it is smaller than the sum of its proper divisors (329364016).

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

306769664 is a wasteful number, since it uses less digits than its factorization.

306769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The square root of 306769664 is about 17514.8412496374. The cubic root of 306769664 is about 674.4309160492.

The spelling of 306769664 in words is "three hundred six million, seven hundred sixty-nine thousand, six hundred sixty-four".