31089168 has 120 divisors (see below), whose sum is σ = 100008480. Its totient is φ = 8916480.

The previous prime is 31089143. The next prime is 31089181. The reversal of 31089168 is 86198013.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29580 + ... + 30612.

It is an arithmetic number, because the mean of its divisors is an integer number (833404).

Almost surely, 2^31089168 is an apocalyptic number.

31089168 is a gapful number since it is divisible by the number (38) 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 31089168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50004240).

31089168 is an abundant number, since it is smaller than the sum of its proper divisors (68919312).

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

31089168 is a wasteful number, since it uses less digits than its factorization.

31089168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 31089168 is about 5575.7661356983. The cubic root of 31089168 is about 314.4389711418.

The spelling of 31089168 in words is "thirty-one million, eighty-nine thousand, one hundred sixty-eight".