31314408 has 128 divisors (see below), whose sum is σ = 89579520. Its totient is φ = 9067520.

The previous prime is 31314407. The next prime is 31314457. The reversal of 31314408 is 80441313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31314407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441013 + ... + 441083.

It is an arithmetic number, because the mean of its divisors is an integer number (699840).

Almost surely, 2^31314408 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 31314408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44789760).

31314408 is an abundant number, since it is smaller than the sum of its proper divisors (58265112).

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

31314408 is a wasteful number, since it uses less digits than its factorization.

31314408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 31314408 is about 5595.9278051097. The cubic root of 31314408 is about 315.1965112947.

The spelling of 31314408 in words is "thirty-one million, three hundred fourteen thousand, four hundred eight".