1115200 has 84 divisors (see below), whose sum is σ = 2976372. Its totient is φ = 409600.

The previous prime is 1115189. The next prime is 1115207. The reversal of 1115200 is 25111.

1115200 = 22³ + 23³ + ... + 46³.

It is a happy number.

1115200 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 6 ways, for example, as 82944 + 1032256 = 288^2 + 1016^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1115207) 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, 27180 + ... + 27220.

It is an arithmetic number, because the mean of its divisors is an integer number (35433).

2^1115200 is an apocalyptic number.

1115200 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 1115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488186).

1115200 is an abundant number, since it is smaller than the sum of its proper divisors (1861172).

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

1115200 is a wasteful number, since it uses less digits than its factorization.

1115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 1115200 is about 1056.0303025955. The cubic root of 1115200 is about 103.7013126181.

The spelling of 1115200 in words is "one million, one hundred fifteen thousand, two hundred".