30968960 has 128 divisors (see below), whose sum is σ = 83280960. Its totient is φ = 10915840.

The previous prime is 30968957. The next prime is 30969007. The reversal of 30968960 is 6986903.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373079 + ... + 373161.

Almost surely, 2^30968960 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 30968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480).

30968960 is an abundant number, since it is smaller than the sum of its proper divisors (52312000).

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

30968960 is a wasteful number, since it uses less digits than its factorization.

30968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 30968960 is about 5564.9761904253. The cubic root of 30968960 is about 314.0331824237.

The spelling of 30968960 in words is "thirty million, nine hundred sixty-eight thousand, nine hundred sixty".