30948960 has 192 divisors, whose sum is σ = 113992704. Its totient is φ = 6912000.

The previous prime is 30948947. The next prime is 30948991. The reversal of 30948960 is 6984903.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 204885 + ... + 205035.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 2^30948960 is an apocalyptic number.

30948960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

30948960 is an abundant number, since it is smaller than the sum of its proper divisors (83043744).

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

30948960 is a wasteful number, since it uses less digits than its factorization.

30948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 30948960 is about 5563.1789473286. The cubic root of 30948960 is about 313.9655661593.

The spelling of 30948960 in words is "thirty million, nine hundred forty-eight thousand, nine hundred sixty".