31940160 has 224 divisors, whose sum is σ = 119481600. Its totient is φ = 7225344.

The previous prime is 31940147. The next prime is 31940177. The reversal of 31940160 is 6104913.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31940160.

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 31 ways as a sum of consecutive naturals, for example, 329232 + ... + 329328.

It is an arithmetic number, because the mean of its divisors is an integer number (533400).

Almost surely, 2^31940160 is an apocalyptic number.

31940160 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 31940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59740800).

31940160 is an abundant number, since it is smaller than the sum of its proper divisors (87541440).

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

31940160 is an equidigital number, since it uses as much as digits as its factorization.

31940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 31940160 is about 5651.5626157727. The cubic root of 31940160 is about 317.2821909123.

The spelling of 31940160 in words is "thirty-one million, nine hundred forty thousand, one hundred sixty".