30982920 has 128 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 7693056.

The previous prime is 30982883. The next prime is 30982943. The reversal of 30982920 is 2928903.

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, 243897 + ... + 244023.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 2^30982920 is an apocalyptic number.

30982920 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 30982920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49766400).

30982920 is an abundant number, since it is smaller than the sum of its proper divisors (68549880).

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

30982920 is a wasteful number, since it uses less digits than its factorization.

30982920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 30982920 is about 5566.2303222199. The cubic root of 30982920 is about 314.0803613267.

The spelling of 30982920 in words is "thirty million, nine hundred eighty-two thousand, nine hundred twenty".