31140768 has 48 divisors (see below), whose sum is σ = 82162080. Its totient is φ = 10327296.

The previous prime is 31140763. The next prime is 31140779. The reversal of 31140768 is 86704113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (31140763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21078 + ... + 22506.

It is an arithmetic number, because the mean of its divisors is an integer number (1711710).

Almost surely, 2^31140768 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 31140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41081040).

31140768 is an abundant number, since it is smaller than the sum of its proper divisors (51021312).

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

31140768 is a wasteful number, since it uses less digits than its factorization.

31140768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 31140768 is about 5580.3913841235. The cubic root of 31140768 is about 314.6128375156.

The spelling of 31140768 in words is "thirty-one million, one hundred forty thousand, seven hundred sixty-eight".