10689024 has 40 divisors (see below), whose sum is σ = 28480320. Its totient is φ = 3562496.

The previous prime is 10689013. The next prime is 10689047. The reversal of 10689024 is 42098601.

It is a super-2 number, since 2×10689024² = 228510468145152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10688982 and 10689000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1944 + ... + 5015.

It is an arithmetic number, because the mean of its divisors is an integer number (712008).

Almost surely, 2^10689024 is an apocalyptic number.

It is an amenable number.

10689024 is an abundant number, since it is smaller than the sum of its proper divisors (17791296).

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

10689024 is an frugal number, since it uses more digits than its factorization.

10689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10689024 is about 3269.4072857324. The cubic root of 10689024 is about 220.2821723658.

The spelling of 10689024 in words is "ten million, six hundred eighty-nine thousand, twenty-four".