31189968 has 160 divisors (see below), whose sum is σ = 98565120. Its totient is φ = 9400320.

The previous prime is 31189957. The next prime is 31189969. The reversal of 31189968 is 86998113.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31189969) 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, 227596 + ... + 227732.

It is an arithmetic number, because the mean of its divisors is an integer number (616032).

Almost surely, 2^31189968 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 31189968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49282560).

31189968 is an abundant number, since it is smaller than the sum of its proper divisors (67375152).

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

31189968 is a wasteful number, since it uses less digits than its factorization.

31189968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 31189968 is about 5584.7979372579. The cubic root of 31189968 is about 314.7784383009.

The spelling of 31189968 in words is "thirty-one million, one hundred eighty-nine thousand, nine hundred sixty-eight".