11340800 has 66 divisors (see below), whose sum is σ = 28174908. Its totient is φ = 4526080.

The previous prime is 11340757. The next prime is 11340821. The reversal of 11340800 is 804311.

It is a happy number.

It is a super-2 number, since 2×11340800² = 257227489280000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25379 + ... + 25821.

Almost surely, 2^11340800 is an apocalyptic number.

11340800 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 11340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087454).

11340800 is an abundant number, since it is smaller than the sum of its proper divisors (16834108).

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

11340800 is an equidigital number, since it uses as much as digits as its factorization.

11340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11340800 is about 3367.6104287759. The cubic root of 11340800 is about 224.6714546474.

The spelling of 11340800 in words is "eleven million, three hundred forty thousand, eight hundred".