10831680 has 84 divisors (see below), whose sum is σ = 37266372. Its totient is φ = 2887680.

The previous prime is 10831661. The next prime is 10831687. The reversal of 10831680 is 8613801.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 6471936 = 2088^2 + 2544^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10831687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 4760.

Almost surely, 2^10831680 is an apocalyptic number.

10831680 is a gapful number since it is divisible by the number (10) 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 10831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633186).

10831680 is an abundant number, since it is smaller than the sum of its proper divisors (26434692).

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

10831680 is a wasteful number, since it uses less digits than its factorization.

10831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10831680 is about 3291.1517740755. The cubic root of 10831680 is about 221.2578087831.

It can be divided in two parts, 10831 and 680, that added together give a palindrome (11511).

The spelling of 10831680 in words is "ten million, eight hundred thirty-one thousand, six hundred eighty".