1106880 has 56 divisors (see below), whose sum is σ = 3517392. Its totient is φ = 294912.

The previous prime is 1106851. The next prime is 1106881. The reversal of 1106880 is 886011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1106880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106881) 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, 384 + ... + 1536.

2^1106880 is an apocalyptic number.

1106880 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 1106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758696).

1106880 is an abundant number, since it is smaller than the sum of its proper divisors (2410512).

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

1106880 is a wasteful number, since it uses less digits than its factorization.

1106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1106880 is about 1052.0836468646. The cubic root of 1106880 is about 103.4427791715.

The spelling of 1106880 in words is "one million, one hundred six thousand, eight hundred eighty".