30880872 has 128 divisors (see below), whose sum is σ = 96163200. Its totient is φ = 9100800.

The previous prime is 30880849. The next prime is 30880877. The reversal of 30880872 is 27808803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30880877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97258 + ... + 97574.

It is an arithmetic number, because the mean of its divisors is an integer number (751275).

Almost surely, 2^30880872 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 30880872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48081600).

30880872 is an abundant number, since it is smaller than the sum of its proper divisors (65282328).

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

30880872 is a wasteful number, since it uses less digits than its factorization.

30880872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 30880872 is about 5557.0560551429. The cubic root of 30880872 is about 313.7351547184.

The spelling of 30880872 in words is "thirty million, eight hundred eighty thousand, eight hundred seventy-two".