31944168 has 72 divisors (see below), whose sum is σ = 91382850. Its totient is φ = 10079424.

The previous prime is 31944163. The next prime is 31944169. The reversal of 31944168 is 86144913.

It can be written as a sum of positive squares in only one way, i.e., 17791524 + 14152644 = 4218^2 + 3762^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×31944168³ (a number of 23 digits) contains 333 as substring.

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 (31944163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25378 + ... + 26606.

Almost surely, 2^31944168 is an apocalyptic number.

31944168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31944168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45691425).

31944168 is an abundant number, since it is smaller than the sum of its proper divisors (59438682).

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

31944168 is a wasteful number, since it uses less digits than its factorization.

31944168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1253 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 31944168 is about 5651.9171968457. The cubic root of 31944168 is about 317.2954617062.

The spelling of 31944168 in words is "thirty-one million, nine hundred forty-four thousand, one hundred sixty-eight".