10644800 has 42 divisors (see below), whose sum is σ = 26196798. Its totient is φ = 4257280.

The previous prime is 10644793. The next prime is 10644853. The reversal of 10644800 is 844601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 10601536 = 208^2 + 3256^2 .

It is a super-2 number, since 2×10644800² = 226623534080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1727 + ... + 4926.

Almost surely, 2^10644800 is an apocalyptic number.

10644800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10644800 is an abundant number, since it is smaller than the sum of its proper divisors (15551998).

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

10644800 is an equidigital number, since it uses as much as digits as its factorization.

10644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10644800 is about 3262.6369703048. The cubic root of 10644800 is about 219.9779592244.

The spelling of 10644800 in words is "ten million, six hundred forty-four thousand, eight hundred".