306960 has 40 divisors (see below), whose sum is σ = 952320. Its totient is φ = 81792.

The previous prime is 306953. The next prime is 306991. The reversal of 306960 is 69603.

306960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 306960.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306960.

It is an unprimeable number.

306960 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 7 ways as a sum of consecutive naturals, for example, 400 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2³⁰⁶⁹⁶⁰ is an apocalyptic number.

306960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

306960 is an abundant number, since it is smaller than the sum of its proper divisors (645360).

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

306960 is a wasteful number, since it uses less digits than its factorization.

306960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 306960 is about 554.0397097682. The cubic root of 306960 is about 67.4570371324.

Subtracting from 306960 its sum of digits (24), we obtain a triangular number (306936 = T₇₈₃).

The spelling of 306960 in words is "three hundred six thousand, nine hundred sixty".