1089400 has 48 divisors (see below), whose sum is σ = 2734200. Its totient is φ = 401280.

The previous prime is 1089397. The next prime is 1089401. The reversal of 1089400 is 49801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2391 + ... + 2809.

2^1089400 is an apocalyptic number.

1089400 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 1089400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367100).

1089400 is an abundant number, since it is smaller than the sum of its proper divisors (1644800).

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

1089400 is a wasteful number, since it uses less digits than its factorization.

1089400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1089400 is about 1043.7432634513. The cubic root of 1089400 is about 102.8953598432.

It can be divided in two parts, 1089 and 400, that multiplied together give a square (435600 = 660²).

The spelling of 1089400 in words is "one million, eighty-nine thousand, four hundred".