31985568 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 9750528.

The previous prime is 31985567. The next prime is 31985581. The reversal of 31985568 is 86558913.

31985568 is a `hidden beast` number, since 3 + 1 + 9 + 85 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (31985561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230043 + ... + 230181.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^31985568 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 31985568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

31985568 is an abundant number, since it is smaller than the sum of its proper divisors (67080672).

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

31985568 is a wasteful number, since it uses less digits than its factorization.

31985568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 31985568 is about 5655.5784850005. The cubic root of 31985568 is about 317.4324753585.

The spelling of 31985568 in words is "thirty-one million, nine hundred eighty-five thousand, five hundred sixty-eight".