11068800 has 96 divisors (see below), whose sum is σ = 36489480. Its totient is φ = 2949120.

The previous prime is 11068793. The next prime is 11068817. The reversal of 11068800 is 886011.

11068800 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9024 + ... + 10176.

Almost surely, 2^11068800 is an apocalyptic number.

11068800 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 11068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244740).

11068800 is an abundant number, since it is smaller than the sum of its proper divisors (25420680).

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

11068800 is a wasteful number, since it uses less digits than its factorization.

11068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11068800 is about 3326.9806131085. The cubic root of 11068800 is about 222.8607118805.

The spelling of 11068800 in words is "eleven million, sixty-eight thousand, eight hundred".