309775968 has 96 divisors (see below), whose sum is σ = 909014400. Its totient is φ = 102630528.

The previous prime is 309775957. The next prime is 309775969. The reversal of 309775968 is 869577903.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×309775968² = 191922300700674048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309775969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153655 + ... + 155657.

It is an arithmetic number, because the mean of its divisors is an integer number (9468900).

Almost surely, 2^309775968 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 309775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454507200).

309775968 is an abundant number, since it is smaller than the sum of its proper divisors (599238432).

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

309775968 is a wasteful number, since it uses less digits than its factorization.

309775968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 309775968 is about 17600.4536305176. The cubic root of 309775968 is about 676.6268708615.

The spelling of 309775968 in words is "three hundred nine million, seven hundred seventy-five thousand, nine hundred sixty-eight".