1098880 has 64 divisors (see below), whose sum is σ = 2809080. Its totient is φ = 409600.

The previous prime is 1098847. The next prime is 1098953. The reversal of 1098880 is 888901.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 576 = 1048^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 10830 + ... + 10930.

2^1098880 is an apocalyptic number.

1098880 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 1098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404540).

1098880 is an abundant number, since it is smaller than the sum of its proper divisors (1710200).

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

1098880 is a wasteful number, since it uses less digits than its factorization.

1098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 1098880 is about 1048.2747731392. The cubic root of 1098880 is about 103.1929646868.

The spelling of 1098880 in words is "one million, ninety-eight thousand, eight hundred eighty".