10931680 has 48 divisors (see below), whose sum is σ = 27352080. Its totient is φ = 4114432.

The previous prime is 10931671. The next prime is 10931717. The reversal of 10931680 is 8613901.

It is a happy number.

10931680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711 + ... + 4729.

It is an arithmetic number, because the mean of its divisors is an integer number (569835).

Almost surely, 2^10931680 is an apocalyptic number.

10931680 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 10931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676040).

10931680 is an abundant number, since it is smaller than the sum of its proper divisors (16420400).

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

10931680 is a wasteful number, since it uses less digits than its factorization.

10931680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 10931680 is about 3306.3091204544. The cubic root of 10931680 is about 221.9366212498.

It can be divided in two parts, 10931 and 680, that added together give a palindrome (11611).

The spelling of 10931680 in words is "ten million, nine hundred thirty-one thousand, six hundred eighty".