309955968 has 432 divisors, whose sum is σ = 1160183700. Its totient is φ = 78962688.

The previous prime is 309955957. The next prime is 309955999. The reversal of 309955968 is 869559903.

309955968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16313463 + ... + 16313481.

Almost surely, 2^309955968 is an apocalyptic number.

309955968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580091850).

309955968 is an abundant number, since it is smaller than the sum of its proper divisors (850227732).

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

309955968 is a wasteful number, since it uses less digits than its factorization.

309955968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 309955968 is about 17605.5663924794. The cubic root of 309955968 is about 676.7579002366.

It can be divided in two parts, 30995 and 5968, that added together give a palindrome (36963).

The spelling of 309955968 in words is "three hundred nine million, nine hundred fifty-five thousand, nine hundred sixty-eight".