31123968 has 80 divisors (see below), whose sum is σ = 86619456. Its totient is φ = 9912320.

The previous prime is 31123951. The next prime is 31123973. The reversal of 31123968 is 86932113.

It is an unprimeable number.

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, 34888 + ... + 35768.

Almost surely, 2^31123968 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 31123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43309728).

31123968 is an abundant number, since it is smaller than the sum of its proper divisors (55495488).

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

31123968 is an equidigital number, since it uses as much as digits as its factorization.

31123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 31123968 is about 5578.8859102871. The cubic root of 31123968 is about 314.5562509596.

The spelling of 31123968 in words is "thirty-one million, one hundred twenty-three thousand, nine hundred sixty-eight".