10686964 has 24 divisors (see below), whose sum is σ = 19492200. Its totient is φ = 5120640.

The previous prime is 10686953. The next prime is 10686983. The reversal of 10686964 is 46968601.

It can be written as a sum of positive squares in 4 ways, for example, as 574564 + 10112400 = 758^2 + 3180^2 .

It is a super-2 number, since 2×10686964² = 228422399074592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20742 + ... + 21250.

It is an arithmetic number, because the mean of its divisors is an integer number (812175).

Almost surely, 2^10686964 is an apocalyptic number.

It is an amenable number.

10686964 is a deficient number, since it is larger than the sum of its proper divisors (8805236).

10686964 is a wasteful number, since it uses less digits than its factorization.

10686964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 10686964 is about 3269.0922287387. The cubic root of 10686964 is about 220.2680204523.

The spelling of 10686964 in words is "ten million, six hundred eighty-six thousand, nine hundred sixty-four".