1088800 has 36 divisors (see below), whose sum is σ = 2659986. Its totient is φ = 435200.

The previous prime is 1088783. The next prime is 1088807. The reversal of 1088800 is 88801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 620944 + 467856 = 788^2 + 684^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1088807) by changing a digit.

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, 120 + ... + 1480.

2^1088800 is an apocalyptic number.

1088800 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 1088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329993).

1088800 is an abundant number, since it is smaller than the sum of its proper divisors (1571186).

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

1088800 is a wasteful number, since it uses less digits than its factorization.

1088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 1088800 is about 1043.4557968596. The cubic root of 1088800 is about 102.8764660933.

Subtracting from 1088800 its reverse (88801), we obtain a palindrome (999999).

The spelling of 1088800 in words is "one million, eighty-eight thousand, eight hundred".