1132400 has 60 divisors (see below), whose sum is σ = 2883000. Its totient is φ = 426240.

The previous prime is 1132393. The next prime is 1132403. The reversal of 1132400 is 42311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132403) 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, 7526 + ... + 7674.

It is an arithmetic number, because the mean of its divisors is an integer number (48050).

2^1132400 is an apocalyptic number.

1132400 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 1132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441500).

1132400 is an abundant number, since it is smaller than the sum of its proper divisors (1750600).

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

1132400 is a wasteful number, since it uses less digits than its factorization.

1132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1132400 is about 1064.1428475538. The cubic root of 1132400 is about 104.2317317947.

Adding to 1132400 its reverse (42311), we get a palindrome (1174711).

The spelling of 1132400 in words is "one million, one hundred thirty-two thousand, four hundred".