1123600 has 45 divisors (see below), whose sum is σ = 2751343. Its totient is φ = 440960.

The previous prime is 1123597. The next prime is 1123601. The reversal of 1123600 is 63211.

The square root of 1123600 is 1060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 1115136 = 92^2 + 1056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1123601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21174 + ... + 21226.

2^1123600 is an apocalyptic number.

1123600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1123600 is the 1060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123600

1123600 is an abundant number, since it is smaller than the sum of its proper divisors (1627743).

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

1123600 is an equidigital number, since it uses as much as digits as its factorization.

1123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The cubic root of 1123600 is about 103.9610307648.

Multiplying 1123600 by its product of nonzero digits (36), we get a square (40449600 = 6360²).

Adding to 1123600 its reverse (63211), we get a palindrome (1186811).

The spelling of 1123600 in words is "one million, one hundred twenty-three thousand, six hundred".