11096800 has 144 divisors (see below), whose sum is σ = 32154192. Its totient is φ = 3686400.

The previous prime is 11096797. The next prime is 11096819. The reversal of 11096800 is 869011.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 114352 + ... + 114448.

It is an arithmetic number, because the mean of its divisors is an integer number (223293).

Almost surely, 2^11096800 is an apocalyptic number.

11096800 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 11096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077096).

11096800 is an abundant number, since it is smaller than the sum of its proper divisors (21057392).

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

11096800 is a wasteful number, since it uses less digits than its factorization.

11096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 11096800 is about 3331.1859749945. The cubic root of 11096800 is about 223.0484722398.

It can be divided in two parts, 110 and 96800, that multiplied together give a cube (10648000 = 220³).

The spelling of 11096800 in words is "eleven million, ninety-six thousand, eight hundred".