31481968 has 80 divisors (see below), whose sum is σ = 73281024. Its totient is φ = 12821760.

The previous prime is 31481951. The next prime is 31481981. The reversal of 31481968 is 86918413.

It is a super-2 number, since 2×31481968² = 1982228618306048, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 31481968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294171 + ... + 294277.

Almost surely, 2^31481968 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 31481968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640512).

31481968 is an abundant number, since it is smaller than the sum of its proper divisors (41799056).

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

31481968 is a wasteful number, since it uses less digits than its factorization.

31481968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 31481968 is about 5610.8794319607. The cubic root of 31481968 is about 315.7577056308.

The spelling of 31481968 in words is "thirty-one million, four hundred eighty-one thousand, nine hundred sixty-eight".