31130880 has 216 divisors, whose sum is σ = 110915616. Its totient is φ = 7434240.

The previous prime is 31130863. The next prime is 31130887. The reversal of 31130880 is 8803113.

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 31130880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464607 + ... + 464673.

Almost surely, 2^31130880 is an apocalyptic number.

31130880 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 31130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55457808).

31130880 is an abundant number, since it is smaller than the sum of its proper divisors (79784736).

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

31130880 is a wasteful number, since it uses less digits than its factorization.

31130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 31130880 is about 5579.5053544199. The cubic root of 31130880 is about 314.5795347504.

Adding to 31130880 its reverse (8803113), we get a palindrome (39933993).

The spelling of 31130880 in words is "thirty-one million, one hundred thirty thousand, eight hundred eighty".