31538980 has 72 divisors (see below), whose sum is σ = 75809664. Its totient is φ = 10929600.

The previous prime is 31538951. The next prime is 31538987. The reversal of 31538980 is 8983513.

It is not an unprimeable number, because it can be changed into a prime (31538987) 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 23 ways as a sum of consecutive naturals, for example, 116245 + ... + 116515.

It is an arithmetic number, because the mean of its divisors is an integer number (1052912).

Almost surely, 2^31538980 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 31538980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37904832).

31538980 is an abundant number, since it is smaller than the sum of its proper divisors (44270684).

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

31538980 is a wasteful number, since it uses less digits than its factorization.

31538980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 31538980 is about 5615.9576209227. The cubic root of 31538980 is about 315.9481969240.

The spelling of 31538980 in words is "thirty-one million, five hundred thirty-eight thousand, nine hundred eighty".