11082800 has 60 divisors (see below), whose sum is σ = 26984880. Its totient is φ = 4373760.

The previous prime is 11082791. The next prime is 11082809. The reversal of 11082800 is 828011.

It is an interprime number because it is at equal distance from previous prime (11082791) and next prime (11082809).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11082809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41066 + ... + 41334.

It is an arithmetic number, because the mean of its divisors is an integer number (449748).

Almost surely, 2^11082800 is an apocalyptic number.

11082800 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 11082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13492440).

11082800 is an abundant number, since it is smaller than the sum of its proper divisors (15902080).

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

11082800 is a wasteful number, since it uses less digits than its factorization.

11082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 11082800 is about 3329.0839580882. The cubic root of 11082800 is about 222.9546315905.

It can be divided in two parts, 1 and 1082800, that added together give a palindrome (1082801).

The spelling of 11082800 in words is "eleven million, eighty-two thousand, eight hundred".