11066400 has 216 divisors, whose sum is σ = 41130180. Its totient is φ = 2795520.

The previous prime is 11066387. The next prime is 11066413. The reversal of 11066400 is 466011.

11066400 is a `hidden beast` number, since 1 + 1 + 0 + 664 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11066387) and next prime (11066413).

It can be written as a sum of positive squares in 6 ways, for example, as 5363856 + 5702544 = 2316^2 + 2388^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208774 + ... + 208826.

Almost surely, 2^11066400 is an apocalyptic number.

11066400 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 11066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20565090).

11066400 is an abundant number, since it is smaller than the sum of its proper divisors (30063780).

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

11066400 is a wasteful number, since it uses less digits than its factorization.

11066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11066400 is about 3326.6199061510. The cubic root of 11066400 is about 222.8446034083.

The spelling of 11066400 in words is "eleven million, sixty-six thousand, four hundred".