31880772 has 216 divisors, whose sum is σ = 107557632. Its totient is φ = 7862400.

The previous prime is 31880767. The next prime is 31880789. The reversal of 31880772 is 27708813.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 601498 + ... + 601550.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^31880772 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 31880772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

31880772 is an abundant number, since it is smaller than the sum of its proper divisors (75676860).

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

31880772 is a wasteful number, since it uses less digits than its factorization.

31880772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 31880772 is about 5646.3060490909. The cubic root of 31880772 is about 317.0854224838.

The spelling of 31880772 in words is "thirty-one million, eight hundred eighty thousand, seven hundred seventy-two".