31964940 has 144 divisors (see below), whose sum is σ = 115734528. Its totient is φ = 6982272.

The previous prime is 31964939. The next prime is 31964941. The reversal of 31964940 is 4946913.

31964940 is a `hidden beast` number, since 3 + 1 + 9 + 649 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31964939) and next prime (31964941).

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 = 31964895 and 31964904.

It is not an unprimeable number, because it can be changed into a prime (31964941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28429 + ... + 29531.

It is an arithmetic number, because the mean of its divisors is an integer number (803712).

Almost surely, 2^31964940 is an apocalyptic number.

31964940 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 31964940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57867264).

31964940 is an abundant number, since it is smaller than the sum of its proper divisors (83769588).

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

31964940 is a wasteful number, since it uses less digits than its factorization.

31964940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 31964940 is about 5653.7545047517. The cubic root of 31964940 is about 317.3642216047.

The spelling of 31964940 in words is "thirty-one million, nine hundred sixty-four thousand, nine hundred forty".