1008800 has 72 divisors (see below), whose sum is σ = 2679516. Its totient is φ = 368640.

The previous prime is 1008793. The next prime is 1008809. The reversal of 1008800 is 88001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 169744 + 839056 = 412^2 + 916^2 .

It is not an unprimeable number, because it can be changed into a prime (1008809) 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, 10352 + ... + 10448.

2^1008800 is an apocalyptic number.

1008800 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 1008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339758).

1008800 is an abundant number, since it is smaller than the sum of its proper divisors (1670716).

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

1008800 is a wasteful number, since it uses less digits than its factorization.

1008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1008800 is about 1004.3903623592. The cubic root of 1008800 is about 100.2924770710.

The spelling of 1008800 in words is "one million, eight thousand, eight hundred".