31968160 has 192 divisors, whose sum is σ = 96671232. Its totient is φ = 9732096.

The previous prime is 31968133. The next prime is 31968163. The reversal of 31968160 is 6186913.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (31968163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437884 + ... + 437956.

It is an arithmetic number, because the mean of its divisors is an integer number (503496).

Almost surely, 2^31968160 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 31968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48335616).

31968160 is an abundant number, since it is smaller than the sum of its proper divisors (64703072).

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

31968160 is a wasteful number, since it uses less digits than its factorization.

31968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 31968160 is about 5654.0392641014. The cubic root of 31968160 is about 317.3748778475.

The spelling of 31968160 in words is "thirty-one million, nine hundred sixty-eight thousand, one hundred sixty".