11661200 has 30 divisors (see below), whose sum is σ = 28016994. Its totient is φ = 4664320.

The previous prime is 11661197. The next prime is 11661229. The reversal of 11661200 is 216611.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 11587216 = 272^2 + 3404^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14177 + ... + 14976.

Almost surely, 2^11661200 is an apocalyptic number.

11661200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11661200 is an abundant number, since it is smaller than the sum of its proper divisors (16355794).

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

11661200 is a wasteful number, since it uses less digits than its factorization.

11661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29171 (or 29160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 11661200 is about 3414.8499234959. The cubic root of 11661200 is about 226.7676405178.

Adding to 11661200 its reverse (216611), we get a palindrome (11877811).

It can be divided in two parts, 116 and 61200, that added together give a palindrome (61316).

The spelling of 11661200 in words is "eleven million, six hundred sixty-one thousand, two hundred".