11616200 has 36 divisors (see below), whose sum is σ = 27120195. Its totient is φ = 4627200.

The previous prime is 11616197. The next prime is 11616203. The reversal of 11616200 is 261611.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (11616197) and next prime (11616203).

It can be written as a sum of positive squares in 5 ways, for example, as 7214596 + 4401604 = 2686^2 + 2098^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2410.

It is a super-2 number, since 2×11616200² = 269872204880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11616203) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 48080 + ... + 48320.

Almost surely, 2^11616200 is an apocalyptic number.

11616200 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 11616200

11616200 is an abundant number, since it is smaller than the sum of its proper divisors (15503995).

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

11616200 is an equidigital number, since it uses as much as digits as its factorization.

11616200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 248 counting only the distinct ones).

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

The square root of 11616200 is about 3408.2546853192. The cubic root of 11616200 is about 226.4755694240.

Multiplying 11616200 by its product of nonzero digits (72), we get a square (836366400 = 28920²).

Adding to 11616200 its reverse (261611), we get a palindrome (11877811).

The spelling of 11616200 in words is "eleven million, six hundred sixteen thousand, two hundred".