11068200 has 288 divisors, whose sum is σ = 44684640. Its totient is φ = 2419200.

The previous prime is 11068193. The next prime is 11068201. The reversal of 11068200 is 286011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11068201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257379 + ... + 257421.

It is an arithmetic number, because the mean of its divisors is an integer number (155155).

Almost surely, 2^11068200 is an apocalyptic number.

11068200 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 11068200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

11068200 is an abundant number, since it is smaller than the sum of its proper divisors (33616440).

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

11068200 is a wasteful number, since it uses less digits than its factorization.

11068200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11068200 is about 3326.8904400356. The cubic root of 11068200 is about 222.8566849807.

The spelling of 11068200 in words is "eleven million, sixty-eight thousand, two hundred".