31412880 has 80 divisors (see below), whose sum is σ = 108207360. Its totient is φ = 8376192.

The previous prime is 31412879. The next prime is 31412897. The reversal of 31412880 is 8821413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 5112 + ... + 9431.

It is an arithmetic number, because the mean of its divisors is an integer number (1352592).

Almost surely, 2^31412880 is an apocalyptic number.

31412880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31412880 is an abundant number, since it is smaller than the sum of its proper divisors (76794480).

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

31412880 is a wasteful number, since it uses less digits than its factorization.

31412880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 31412880 is about 5604.7194399006. The cubic root of 31412880 is about 315.5265569537.

The spelling of 31412880 in words is "thirty-one million, four hundred twelve thousand, eight hundred eighty".