309968 has 10 divisors (see below), whose sum is σ = 600594. Its totient is φ = 154976.

The previous prime is 309937. The next prime is 309977. The reversal of 309968 is 869903.

It can be written as a sum of positive squares in only one way, i.e., 238144 + 71824 = 488^2 + 268^2 .

It is a super-2 number, since 2×309968² = 192160322048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9671 + ... + 9702.

2³⁰⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

309968 is a deficient number, since it is larger than the sum of its proper divisors (290626).

309968 is a wasteful number, since it uses less digits than its factorization.

309968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19381 (or 19375 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 309968 is about 556.7476986930. The cubic root of 309968 is about 67.6766657013.

The spelling of 309968 in words is "three hundred nine thousand, nine hundred sixty-eight".