31966740 has 144 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 7444224.

The previous prime is 31966733. The next prime is 31966741. The reversal of 31966740 is 4766913.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31966695 and 31966704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31966741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44101 + ... + 44819.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 2^31966740 is an apocalyptic number.

31966740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31966740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

31966740 is an abundant number, since it is smaller than the sum of its proper divisors (78106860).

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

31966740 is a wasteful number, since it uses less digits than its factorization.

31966740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 31966740 is about 5653.9136887646. The cubic root of 31966740 is about 317.3701785988.

The spelling of 31966740 in words is "thirty-one million, nine hundred sixty-six thousand, seven hundred forty".