31298688 has 96 divisors (see below), whose sum is σ = 91295100. Its totient is φ = 10291200.

The previous prime is 31298647. The next prime is 31298689. The reversal of 31298688 is 88689213.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 28224 = 5592^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31298689) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 116218 + ... + 116486.

Almost surely, 2^31298688 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 31298688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45647550).

31298688 is an abundant number, since it is smaller than the sum of its proper divisors (59996412).

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

31298688 is a wasteful number, since it uses less digits than its factorization.

31298688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 31298688 is about 5594.5230359701. The cubic root of 31298688 is about 315.1437590226.

The spelling of 31298688 in words is "thirty-one million, two hundred ninety-eight thousand, six hundred eighty-eight".