10536800 has 36 divisors (see below), whose sum is σ = 25724916. Its totient is φ = 4214400.

The previous prime is 10536781. The next prime is 10536817. The reversal of 10536800 is 863501.

It is a super-2 number, since 2×10536800² = 222048308480000, 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, 5786 + ... + 7385.

It is an arithmetic number, because the mean of its divisors is an integer number (714581).

Almost surely, 2^10536800 is an apocalyptic number.

10536800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10536800 is an abundant number, since it is smaller than the sum of its proper divisors (15188116).

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

10536800 is a wasteful number, since it uses less digits than its factorization.

10536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13191 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10536800 is about 3246.0437458543. The cubic root of 10536800 is about 219.2314782435.

The spelling of 10536800 in words is "ten million, five hundred thirty-six thousand, eight hundred".