31864040 has 64 divisors (see below), whose sum is σ = 79909200. Its totient is φ = 11354112.

The previous prime is 31864013. The next prime is 31864051. The reversal of 31864040 is 4046813.

It can be written as a sum of positive squares in 8 ways, for example, as 749956 + 31114084 = 866^2 + 5578^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14024 + ... + 16136.

Almost surely, 2^31864040 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 31864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39954600).

31864040 is an abundant number, since it is smaller than the sum of its proper divisors (48045160).

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

31864040 is a wasteful number, since it uses less digits than its factorization.

31864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 31864040 is about 5644.8241779528. The cubic root of 31864040 is about 317.0299407479.

The spelling of 31864040 in words is "thirty-one million, eight hundred sixty-four thousand, forty".