10838800 has 120 divisors (see below), whose sum is σ = 30752000. Its totient is φ = 3669120.

The previous prime is 10838783. The next prime is 10838813. The reversal of 10838800 is 883801.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137161 + ... + 137239.

Almost surely, 2^10838800 is an apocalyptic number.

10838800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376000).

10838800 is an abundant number, since it is smaller than the sum of its proper divisors (19913200).

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

10838800 is an equidigital number, since it uses as much as digits as its factorization.

10838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 10838800 is about 3292.2332845654. The cubic root of 10838800 is about 221.3062780433.

Subtracting from 10838800 its product of nonzero digits (1536), we obtain a square (10837264 = 3292²).

The spelling of 10838800 in words is "ten million, eight hundred thirty-eight thousand, eight hundred".