30979872 has 216 divisors, whose sum is σ = 111541248. Its totient is φ = 7983360.

The previous prime is 30979867. The next prime is 30979877. The reversal of 30979872 is 27897903.

It is an interprime number because it is at equal distance from previous prime (30979867) and next prime (30979877).

It is not an unprimeable number, because it can be changed into a prime (30979877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243873 + ... + 243999.

Almost surely, 2^30979872 is an apocalyptic number.

30979872 is a gapful number since it is divisible by the number (32) 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 30979872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55770624).

30979872 is an abundant number, since it is smaller than the sum of its proper divisors (80561376).

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

30979872 is a wasteful number, since it uses less digits than its factorization.

30979872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 30979872 is about 5565.9565215693. The cubic root of 30979872 is about 314.0700615837.

The spelling of 30979872 in words is "thirty million, nine hundred seventy-nine thousand, eight hundred seventy-two".