1088320 has 56 divisors (see below), whose sum is σ = 2743200. Its totient is φ = 410112.

The previous prime is 1088309. The next prime is 1088371. The reversal of 1088320 is 238801.

It is a junction number, because it is equal to n+sod(n) for n = 1088291 and 1088300.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5991 + ... + 6169.

2^1088320 is an apocalyptic number.

1088320 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 1088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371600).

1088320 is an abundant number, since it is smaller than the sum of its proper divisors (1654880).

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

1088320 is a wasteful number, since it uses less digits than its factorization.

1088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1088320 is about 1043.2257665530. The cubic root of 1088320 is about 102.8613460951.

The spelling of 1088320 in words is "one million, eighty-eight thousand, three hundred twenty".