31667968 has 36 divisors (see below), whose sum is σ = 63879088. Its totient is φ = 15667200.

The previous prime is 31667963. The next prime is 31667969. The reversal of 31667968 is 86976613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31667963) 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 3 ways as a sum of consecutive naturals, for example, 25768 + ... + 26968.

Almost surely, 2^31667968 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 31667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31939544).

31667968 is an abundant number, since it is smaller than the sum of its proper divisors (32211120).

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

31667968 is a wasteful number, since it uses less digits than its factorization.

31667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1306 counting only the distinct ones).

The product of its digits is 326592, while the sum is 46.

The square root of 31667968 is about 5627.4299640244. The cubic root of 31667968 is about 316.3783323104.

The spelling of 31667968 in words is "thirty-one million, six hundred sixty-seven thousand, nine hundred sixty-eight".