1110880 has 48 divisors (see below), whose sum is σ = 2694384. Its totient is φ = 432640.

The previous prime is 1110859. The next prime is 1110881. The reversal of 1110880 is 880111.

1110880 = T₂₅₇ + T₂₅₈ + ... + T₂₈₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8415 + ... + 8545.

It is an arithmetic number, because the mean of its divisors is an integer number (56133).

2^1110880 is an apocalyptic number.

1110880 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 1110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347192).

1110880 is an abundant number, since it is smaller than the sum of its proper divisors (1583504).

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

1110880 is a wasteful number, since it uses less digits than its factorization.

1110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The square root of 1110880 is about 1053.9829220628. The cubic root of 1110880 is about 103.5672352076.

Adding to 1110880 its reverse (880111), we get a palindrome (1990991).

The spelling of 1110880 in words is "one million, one hundred ten thousand, eight hundred eighty".