307968 has 36 divisors (see below), whose sum is σ = 821688. Its totient is φ = 102400.

The previous prime is 307939. The next prime is 307969. The reversal of 307968 is 869703.

It is a happy number.

307968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (307969) by changing a digit.

307968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 568 + ... + 968.

2³⁰⁷⁹⁶⁸ 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 307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410844).

307968 is an abundant number, since it is smaller than the sum of its proper divisors (513720).

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

307968 is an equidigital number, since it uses as much as digits as its factorization.

307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 307968 is about 554.9486462728. The cubic root of 307968 is about 67.5307952761.

It can be divided in two parts, 307 and 968, that added together give a triangular number (1275 = T₅₀).

The spelling of 307968 in words is "three hundred seven thousand, nine hundred sixty-eight".