11764200 has 96 divisors (see below), whose sum is σ = 41693760. Its totient is φ = 2688000.

The previous prime is 11764189. The next prime is 11764213. The reversal of 11764200 is 246711.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 2800 + ... + 5600.

It is an arithmetic number, because the mean of its divisors is an integer number (434310).

Almost surely, 2^11764200 is an apocalyptic number.

11764200 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 11764200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20846880).

11764200 is an abundant number, since it is smaller than the sum of its proper divisors (29929560).

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

11764200 is a wasteful number, since it uses less digits than its factorization.

11764200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11764200 is about 3429.8979576658. The cubic root of 11764200 is about 227.4333419812.

The spelling of 11764200 in words is "eleven million, seven hundred sixty-four thousand, two hundred".