31671168 has 64 divisors (see below), whose sum is σ = 85451520. Its totient is φ = 10391040.

The previous prime is 31671137. The next prime is 31671191. The reversal of 31671168 is 86117613.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25113 + ... + 26343.

It is an arithmetic number, because the mean of its divisors is an integer number (1335180).

Almost surely, 2^31671168 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 31671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42725760).

31671168 is an abundant number, since it is smaller than the sum of its proper divisors (53780352).

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

31671168 is a wasteful number, since it uses less digits than its factorization.

31671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1303 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 31671168 is about 5627.7142784615. The cubic root of 31671168 is about 316.3889884679.

The spelling of 31671168 in words is "thirty-one million, six hundred seventy-one thousand, one hundred sixty-eight".