31267968 has 64 divisors (see below), whose sum is σ = 83941920. Its totient is φ = 10311680.

The previous prime is 31267967. The next prime is 31267969. The reversal of 31267968 is 86976213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31267967) and next prime (31267969).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (31267961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40708 + ... + 41468.

Almost surely, 2^31267968 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 31267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41970960).

31267968 is an abundant number, since it is smaller than the sum of its proper divisors (52673952).

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

31267968 is a wasteful number, since it uses less digits than its factorization.

31267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 31267968 is about 5591.7768195807. The cubic root of 31267968 is about 315.0406196044.

The spelling of 31267968 in words is "thirty-one million, two hundred sixty-seven thousand, nine hundred sixty-eight".