31068160 has 104 divisors (see below), whose sum is σ = 78437016. Its totient is φ = 11796480.

The previous prime is 31068151. The next prime is 31068217. The reversal of 31068160 is 6186013.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 28901376 = 1472^2 + 5376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757740 + ... + 757780.

Almost surely, 2^31068160 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 31068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39218508).

31068160 is an abundant number, since it is smaller than the sum of its proper divisors (47368856).

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

31068160 is an equidigital number, since it uses as much as digits as its factorization.

31068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 31068160 is about 5573.8819506696. The cubic root of 31068160 is about 314.3681295080.

The spelling of 31068160 in words is "thirty-one million, sixty-eight thousand, one hundred sixty".