31273968 has 80 divisors (see below), whose sum is σ = 89672832. Its totient is φ = 9312000.

The previous prime is 31273961. The next prime is 31273973. The reversal of 31273968 is 86937213.

It is a super-3 number, since 3×31273968³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31273961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31723 + ... + 32693.

Almost surely, 2^31273968 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 31273968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44836416).

31273968 is an abundant number, since it is smaller than the sum of its proper divisors (58398864).

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

31273968 is a wasteful number, since it uses less digits than its factorization.

31273968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 31273968 is about 5592.3132959447. The cubic root of 31273968 is about 315.0607693289.

The spelling of 31273968 in words is "thirty-one million, two hundred seventy-three thousand, nine hundred sixty-eight".