31361968 has 40 divisors (see below), whose sum is σ = 67223376. Its totient is φ = 14054400.

The previous prime is 31361947. The next prime is 31361969. The reversal of 31361968 is 86916313.

It is not an unprimeable number, because it can be changed into a prime (31361969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11628 + ... + 14068.

Almost surely, 2^31361968 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 31361968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611688).

31361968 is an abundant number, since it is smaller than the sum of its proper divisors (35861408).

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

31361968 is a wasteful number, since it uses less digits than its factorization.

31361968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2527 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 31361968 is about 5600.1757115291. The cubic root of 31361968 is about 315.3560029810.

The spelling of 31361968 in words is "thirty-one million, three hundred sixty-one thousand, nine hundred sixty-eight".