11662200 has 288 divisors, whose sum is σ = 46425600. Its totient is φ = 2592000.

The previous prime is 11662199. The next prime is 11662201. The reversal of 11662200 is 226611.

It is a happy number.

11662200 is a `hidden beast` number, since 1 + 1 + 662 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11662199) and next prime (11662201).

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11662201) 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, 376185 + ... + 376215.

It is an arithmetic number, because the mean of its divisors is an integer number (161200).

Almost surely, 2^11662200 is an apocalyptic number.

11662200 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 11662200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212800).

11662200 is an abundant number, since it is smaller than the sum of its proper divisors (34763400).

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

11662200 is a wasteful number, since it uses less digits than its factorization.

11662200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

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

The square root of 11662200 is about 3414.9963396759. The cubic root of 11662200 is about 226.7741224453.

Adding to 11662200 its reverse (226611), we get a palindrome (11888811).

The spelling of 11662200 in words is "eleven million, six hundred sixty-two thousand, two hundred".