31944960 has 216 divisors, whose sum is σ = 114791040. Its totient is φ = 8196096.

The previous prime is 31944943. The next prime is 31944971. The reversal of 31944960 is 6944913.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 541411 + ... + 541469.

It is an arithmetic number, because the mean of its divisors is an integer number (531440).

Almost surely, 2^31944960 is an apocalyptic number.

31944960 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 31944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57395520).

31944960 is an abundant number, since it is smaller than the sum of its proper divisors (82846080).

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

31944960 is a wasteful number, since it uses less digits than its factorization.

31944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

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

The square root of 31944960 is about 5651.9872611321. The cubic root of 31944960 is about 317.2980839472.

The spelling of 31944960 in words is "thirty-one million, nine hundred forty-four thousand, nine hundred sixty".