31008960 has 224 divisors, whose sum is σ = 113507520. Its totient is φ = 7962624.

The previous prime is 31008941. The next prime is 31008973. The reversal of 31008960 is 6980013.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319632 + ... + 319728.

It is an arithmetic number, because the mean of its divisors is an integer number (506730).

Almost surely, 2^31008960 is an apocalyptic number.

31008960 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 31008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56753760).

31008960 is an abundant number, since it is smaller than the sum of its proper divisors (82498560).

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

31008960 is a wasteful number, since it uses less digits than its factorization.

31008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 31008960 is about 5568.5689364504. The cubic root of 31008960 is about 314.1683276685.

Adding to 31008960 its reverse (6980013), we get a palindrome (37988973).

The spelling of 31008960 in words is "thirty-one million, eight thousand, nine hundred sixty".