10826800 has 30 divisors (see below), whose sum is σ = 26012348. Its totient is φ = 4330560.

The previous prime is 10826791. The next prime is 10826801. The reversal of 10826800 is 862801.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10826801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13134 + ... + 13933.

Almost surely, 2^10826800 is an apocalyptic number.

10826800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10826800 is an abundant number, since it is smaller than the sum of its proper divisors (15185548).

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

10826800 is a wasteful number, since it uses less digits than its factorization.

10826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27085 (or 27074 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10826800 is about 3290.4103087609. The cubic root of 10826800 is about 221.2245760098.

The spelling of 10826800 in words is "ten million, eight hundred twenty-six thousand, eight hundred".