11471200 has 72 divisors (see below), whose sum is σ = 30185568. Its totient is φ = 4231680.

The previous prime is 11471191. The next prime is 11471203. The reversal of 11471200 is 217411.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11471203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9849 + ... + 10951.

It is an arithmetic number, because the mean of its divisors is an integer number (419244).

Almost surely, 2^11471200 is an apocalyptic number.

11471200 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 11471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092784).

11471200 is an abundant number, since it is smaller than the sum of its proper divisors (18714368).

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

11471200 is a wasteful number, since it uses less digits than its factorization.

11471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 11471200 is about 3386.9160013204. The cubic root of 11471200 is about 225.5292889065.

Adding to 11471200 its reverse (217411), we get a palindrome (11688611).

The spelling of 11471200 in words is "eleven million, four hundred seventy-one thousand, two hundred".