10691681 has 24 divisors (see below), whose sum is σ = 14478912. Its totient is φ = 7682400.

The previous prime is 10691663. The next prime is 10691713. The reversal of 10691681 is 18619601.

It is not a de Polignac number, because 10691681 - 2¹⁰ = 10690657 is a prime.

It is a super-2 number, since 2×10691681² = 228624085211522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10691651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10526 + ... + 11496.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^10691681 is an apocalyptic number.

10691681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10691681 is a deficient number, since it is larger than the sum of its proper divisors (3787231).

10691681 is a wasteful number, since it uses less digits than its factorization.

10691681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 10691681 is about 3269.8136032502. The cubic root of 10691681 is about 220.3004229015.

The spelling of 10691681 in words is "ten million, six hundred ninety-one thousand, six hundred eighty-one".