309968064 has 168 divisors, whose sum is σ = 1033393920. Its totient is φ = 86994432.

The previous prime is 309968053. The next prime is 309968081. The reversal of 309968064 is 460869903.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237237 + ... + 238539.

Almost surely, 2^309968064 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 309968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516696960).

309968064 is an abundant number, since it is smaller than the sum of its proper divisors (723425856).

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

309968064 is a wasteful number, since it uses less digits than its factorization.

309968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 309968064 is about 17605.9099168433. The cubic root of 309968064 is about 676.7667035914.

It can be divided in two parts, 30996 and 8064, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 309968064 in words is "three hundred nine million, nine hundred sixty-eight thousand, sixty-four".