10684689 has 16 divisors (see below), whose sum is σ = 14541120. Its totient is φ = 6977600.

The previous prime is 10684679. The next prime is 10684693. The reversal of 10684689 is 98648601.

It is a cyclic number.

It is not a de Polignac number, because 10684689 - 2⁵ = 10684657 is a prime.

It is a super-2 number, since 2×10684689² = 228325158053442, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10684689.

It is not an unprimeable number, because it can be changed into a prime (10684649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54139 + ... + 54335.

It is an arithmetic number, because the mean of its divisors is an integer number (908820).

Almost surely, 2^10684689 is an apocalyptic number.

It is an amenable number.

10684689 is a deficient number, since it is larger than the sum of its proper divisors (3856431).

10684689 is a wasteful number, since it uses less digits than its factorization.

10684689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 10684689 is about 3268.7442542971. The cubic root of 10684689 is about 220.2523894053.

The spelling of 10684689 in words is "ten million, six hundred eighty-four thousand, six hundred eighty-nine".