31116960 has 300 divisors, whose sum is σ = 128112138. Its totient is φ = 7112448.

The previous prime is 31116959. The next prime is 31116997. The reversal of 31116960 is 6961113.

It can be written as a sum of positive squares in only one way, i.e., 28005264 + 3111696 = 5292^2 + 1764^2 .

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

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 49 ways as a sum of consecutive naturals, for example, 4445277 + ... + 4445283.

Almost surely, 2^31116960 is an apocalyptic number.

31116960 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 31116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64056069).

31116960 is an abundant number, since it is smaller than the sum of its proper divisors (96995178).

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

31116960 is an frugal number, since it uses more digits than its factorization.

31116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 31116960 is about 5578.2577925370. The cubic root of 31116960 is about 314.5326402632.

It can be divided in two parts, 311 and 16960, that added together give a palindrome (17271).

The spelling of 31116960 in words is "thirty-one million, one hundred sixteen thousand, nine hundred sixty".