1121600 has 42 divisors (see below), whose sum is σ = 2763774. Its totient is φ = 448000.

The previous prime is 1121599. The next prime is 1121621. The reversal of 1121600 is 61211.

It can be written as a sum of positive squares in 3 ways, for example, as 215296 + 906304 = 464^2 + 952^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1250 + ... + 1950.

2^1121600 is an apocalyptic number.

1121600 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 1121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381887).

1121600 is an abundant number, since it is smaller than the sum of its proper divisors (1642174).

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

1121600 is an equidigital number, since it uses as much as digits as its factorization.

1121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1121600 is about 1059.0561835899. The cubic root of 1121600 is about 103.8993108317.

Adding to 1121600 its reverse (61211), we get a palindrome (1182811).

The spelling of 1121600 in words is "one million, one hundred twenty-one thousand, six hundred".