11376200 has 48 divisors (see below), whose sum is σ = 28859760. Its totient is φ = 4136000.

The previous prime is 11376199. The next prime is 11376217. The reversal of 11376200 is 267311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 386 + ... + 4785.

It is an arithmetic number, because the mean of its divisors is an integer number (601245).

Almost surely, 2^11376200 is an apocalyptic number.

11376200 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 11376200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429880).

11376200 is an abundant number, since it is smaller than the sum of its proper divisors (17483560).

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

11376200 is a wasteful number, since it uses less digits than its factorization.

11376200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 11376200 is about 3372.8622859524. The cubic root of 11376200 is about 224.9049804542.

Subtracting from 11376200 its reverse (267311), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1137 and 6200, that added together give a palindrome (7337).

The spelling of 11376200 in words is "eleven million, three hundred seventy-six thousand, two hundred".