31082880 has 64 divisors (see below), whose sum is σ = 99082800. Its totient is φ = 8288256.

The previous prime is 31082827. The next prime is 31082893. The reversal of 31082880 is 8828013.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31082880² = 1932290858188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6175 + ... + 10014.

Almost surely, 2^31082880 is an apocalyptic number.

31082880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31082880 is an abundant number, since it is smaller than the sum of its proper divisors (67999920).

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

31082880 is a wasteful number, since it uses less digits than its factorization.

31082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16211 (or 16199 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 31082880 is about 5575.2022384843. The cubic root of 31082880 is about 314.4177705577.

The spelling of 31082880 in words is "thirty-one million, eighty-two thousand, eight hundred eighty".