1134400 has 42 divisors (see below), whose sum is σ = 2795270. Its totient is φ = 453120.

The previous prime is 1134391. The next prime is 1134403. The reversal of 1134400 is 44311.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 1132096 = 48^2 + 1064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1246 + ... + 1954.

2^1134400 is an apocalyptic number.

1134400 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 1134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397635).

1134400 is an abundant number, since it is smaller than the sum of its proper divisors (1660870).

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

1134400 is an equidigital number, since it uses as much as digits as its factorization.

1134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1134400 is about 1065.0821564555. The cubic root of 1134400 is about 104.2930590222.

Adding to 1134400 its reverse (44311), we get a palindrome (1178711).

The spelling of 1134400 in words is "one million, one hundred thirty-four thousand, four hundred".