31214880 has 144 divisors (see below), whose sum is σ = 108795960. Its totient is φ = 8146944.

The previous prime is 31214867. The next prime is 31214903. The reversal of 31214880 is 8841213.

It can be written as a sum of positive squares in 4 ways, for example, as 30869136 + 345744 = 5556^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76116 + ... + 76524.

Almost surely, 2^31214880 is an apocalyptic number.

31214880 is a gapful number since it is divisible by the number (30) 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 31214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54397980).

31214880 is an abundant number, since it is smaller than the sum of its proper divisors (77581080).

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

31214880 is a wasteful number, since it uses less digits than its factorization.

31214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

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

The square root of 31214880 is about 5587.0278323989. The cubic root of 31214880 is about 314.8622224372.

It can be divided in two parts, 3121 and 4880, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 31214880 in words is "thirty-one million, two hundred fourteen thousand, eight hundred eighty".