11640200 has 144 divisors (see below), whose sum is σ = 32901540. Its totient is φ = 3801600.

The previous prime is 11640199. The next prime is 11640241. The reversal of 11640200 is 204611.

It can be written as a sum of positive squares in 6 ways, for example, as 4553956 + 7086244 = 2134^2 + 2662^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 314582 + ... + 314618.

Almost surely, 2^11640200 is an apocalyptic number.

11640200 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 11640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450770).

11640200 is an abundant number, since it is smaller than the sum of its proper divisors (21261340).

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

11640200 is a wasteful number, since it uses less digits than its factorization.

11640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11640200 is about 3411.7737322396. The cubic root of 11640200 is about 226.6314343547.

Adding to 11640200 its reverse (204611), we get a palindrome (11844811).

The spelling of 11640200 in words is "eleven million, six hundred forty thousand, two hundred".