31243968 has 252 divisors, whose sum is σ = 110669832. Its totient is φ = 8709120.

The previous prime is 31243967. The next prime is 31244077. The reversal of 31243968 is 86934213.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31243967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 762028 + ... + 762068.

It is an arithmetic number, because the mean of its divisors is an integer number (439166).

Almost surely, 2^31243968 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 31243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55334916).

31243968 is an abundant number, since it is smaller than the sum of its proper divisors (79425864).

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

31243968 is an equidigital number, since it uses as much as digits as its factorization.

31243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 31243968 is about 5589.6303992303. The cubic root of 31243968 is about 314.9599949196.

The spelling of 31243968 in words is "thirty-one million, two hundred forty-three thousand, nine hundred sixty-eight".