31075968 has 128 divisors (see below), whose sum is σ = 103011840. Its totient is φ = 8064000.

The previous prime is 31075943. The next prime is 31075997. The reversal of 31075968 is 86957013.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 29043 + ... + 30093.

It is an arithmetic number, because the mean of its divisors is an integer number (804780).

Almost surely, 2^31075968 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 31075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51505920).

31075968 is an abundant number, since it is smaller than the sum of its proper divisors (71935872).

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

31075968 is a wasteful number, since it uses less digits than its factorization.

31075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 31075968 is about 5574.5823161919. The cubic root of 31075968 is about 314.3944627996.

The spelling of 31075968 in words is "thirty-one million, seventy-five thousand, nine hundred sixty-eight".