9131688 has 48 divisors (see below), whose sum is σ = 25208820. Its totient is φ = 2985216.

The previous prime is 9131687. The next prime is 9131747. The reversal of 9131688 is 8861319.

It can be written as a sum of positive squares in 2 ways, for example, as 8749764 + 381924 = 2958^2 + 618^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (9131687) 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, 2620 + ... + 5012.

Almost surely, 2^9131688 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 9131688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604410).

9131688 is an abundant number, since it is smaller than the sum of its proper divisors (16077132).

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

9131688 is a wasteful number, since it uses less digits than its factorization.

9131688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2451 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 9131688 is about 3021.8682962697. The cubic root of 9131688 is about 209.0180001743.

It can be divided in two parts, 913 and 1688, that added together give a square (2601 = 51²).

The spelling of 9131688 in words is "nine million, one hundred thirty-one thousand, six hundred eighty-eight".