907968 has 28 divisors (see below), whose sum is σ = 2402840. Its totient is φ = 302592.

The previous prime is 907967. The next prime is 907969. The reversal of 907968 is 869709.

907968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (907967) and next prime (907969).

It is not an unprimeable number, because it can be changed into a prime (907967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2173 + ... + 2556.

2⁹⁰⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

907968 is an abundant number, since it is smaller than the sum of its proper divisors (1494872).

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

907968 is a wasteful number, since it uses less digits than its factorization.

907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 907968 is about 952.8735487986. The cubic root of 907968 is about 96.8330283669.

The spelling of 907968 in words is "nine hundred seven thousand, nine hundred sixty-eight".