30865968 has 160 divisors (see below), whose sum is σ = 103564800. Its totient is φ = 8619264.

The previous prime is 30865949. The next prime is 30865979. The reversal of 30865968 is 86956803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178330 + ... + 178502.

It is an arithmetic number, because the mean of its divisors is an integer number (647280).

Almost surely, 2^30865968 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 30865968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51782400).

30865968 is an abundant number, since it is smaller than the sum of its proper divisors (72698832).

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

30865968 is a wasteful number, since it uses less digits than its factorization.

30865968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 30865968 is about 5555.7148954927. The cubic root of 30865968 is about 313.6846740499.

The spelling of 30865968 in words is "thirty million, eight hundred sixty-five thousand, nine hundred sixty-eight".