10836800 has 84 divisors (see below), whose sum is σ = 28771596. Its totient is φ = 3993600.

The previous prime is 10836779. The next prime is 10836811. The reversal of 10836800 is 863801.

It can be written as a sum of positive squares in 6 ways, for example, as 2027776 + 8809024 = 1424^2 + 2968^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10836800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20540 + ... + 21060.

It is an arithmetic number, because the mean of its divisors is an integer number (342519).

Almost surely, 2^10836800 is an apocalyptic number.

10836800 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 10836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385798).

10836800 is an abundant number, since it is smaller than the sum of its proper divisors (17934796).

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

10836800 is a wasteful number, since it uses less digits than its factorization.

10836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10836800 is about 3291.9295253696. The cubic root of 10836800 is about 221.2926652269.

The spelling of 10836800 in words is "ten million, eight hundred thirty-six thousand, eight hundred".