30974880 has 96 divisors (see below), whose sum is σ = 99719424. Its totient is φ = 8078336.

The previous prime is 30974869. The next prime is 30974891. The reversal of 30974880 is 8847903.

It is an interprime number because it is at equal distance from previous prime (30974869) and next prime (30974891).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21874 + ... + 23246.

It is an arithmetic number, because the mean of its divisors is an integer number (1038744).

Almost surely, 2^30974880 is an apocalyptic number.

30974880 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 30974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49859712).

30974880 is an abundant number, since it is smaller than the sum of its proper divisors (68744544).

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

30974880 is a wasteful number, since it uses less digits than its factorization.

30974880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 30974880 is about 5565.5080630613. The cubic root of 30974880 is about 314.0531912540.

The spelling of 30974880 in words is "thirty million, nine hundred seventy-four thousand, eight hundred eighty".