31603968 has 216 divisors, whose sum is σ = 105225120. Its totient is φ = 9031680.

The previous prime is 31603933. The next prime is 31603987. The reversal of 31603968 is 86930613.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734955 + ... + 734997.

Almost surely, 2^31603968 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 31603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52612560).

31603968 is an abundant number, since it is smaller than the sum of its proper divisors (73621152).

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

31603968 is a wasteful number, since it uses less digits than its factorization.

31603968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 31603968 is about 5621.7406557044. The cubic root of 31603968 is about 316.1650582438.

The spelling of 31603968 in words is "thirty-one million, six hundred three thousand, nine hundred sixty-eight".