1088000 has 80 divisors (see below), whose sum is σ = 2872584. Its totient is φ = 409600.

The previous prime is 1087987. The next prime is 1088023. The reversal of 1088000 is 8801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 614656 = 688^2 + 784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1088000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63992 + ... + 64008.

2^1088000 is an apocalyptic number.

1088000 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 1088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436292).

1088000 is an abundant number, since it is smaller than the sum of its proper divisors (1784584).

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

1088000 is an frugal number, since it uses more digits than its factorization.

1088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 24 counting only the distinct ones).

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

The square root of 1088000 is about 1043.0723848324. The cubic root of 1088000 is about 102.8512636263.

1088000 divided by its sum of digits (17) gives a cube (64000 = 40³).

The spelling of 1088000 in words is "one million, eighty-eight thousand".