11320800 has 144 divisors (see below), whose sum is σ = 37966320. Its totient is φ = 2928640.

The previous prime is 11320753. The next prime is 11320811. The reversal of 11320800 is 802311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11320800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127156 + ... + 127244.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 2^11320800 is an apocalyptic number.

11320800 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 11320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983160).

11320800 is an abundant number, since it is smaller than the sum of its proper divisors (26645520).

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

11320800 is a wasteful number, since it uses less digits than its factorization.

11320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11320800 is about 3364.6396538114. The cubic root of 11320800 is about 224.5393042660.

The spelling of 11320800 in words is "eleven million, three hundred twenty thousand, eight hundred".