31606880 has 96 divisors (see below), whose sum is σ = 81012960. Its totient is φ = 11612160.

The previous prime is 31606879. The next prime is 31606903. The reversal of 31606880 is 8860613.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112340 + ... + 112620.

It is an arithmetic number, because the mean of its divisors is an integer number (843885).

Almost surely, 2^31606880 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 31606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40506480).

31606880 is an abundant number, since it is smaller than the sum of its proper divisors (49406080).

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

31606880 is a wasteful number, since it uses less digits than its factorization.

31606880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 31606880 is about 5621.9996442547. Note that the first 3 decimals coincide. The cubic root of 31606880 is about 316.1747684630.

31606880 divided by its sum of digits (32) gives a triangular number (987715 = T₁₄₀₅).

The spelling of 31606880 in words is "thirty-one million, six hundred six thousand, eight hundred eighty".