10690880 has 28 divisors (see below), whose sum is σ = 25458420. Its totient is φ = 4276224.

The previous prime is 10690871. The next prime is 10690903. The reversal of 10690880 is 8809601.

It can be written as a sum of positive squares in 2 ways, for example, as 2715904 + 7974976 = 1648^2 + 2824^2 .

It is a super-2 number, since 2×10690880² = 228589830348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 16385 + ... + 17024.

Almost surely, 2^10690880 is an apocalyptic number.

10690880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10690880 is an abundant number, since it is smaller than the sum of its proper divisors (14767540).

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

10690880 is an equidigital number, since it uses as much as digits as its factorization.

10690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33426 (or 33416 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 10690880 is about 3269.6911169100. The cubic root of 10690880 is about 220.2949212707.

The spelling of 10690880 in words is "ten million, six hundred ninety thousand, eight hundred eighty".