1106820 has 144 divisors (see below), whose sum is σ = 4036032. Its totient is φ = 241920.

The previous prime is 1106801. The next prime is 1106821. The reversal of 1106820 is 286011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1106793 and 1106802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25719 + ... + 25761.

It is an arithmetic number, because the mean of its divisors is an integer number (28028).

2^1106820 is an apocalyptic number.

1106820 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 1106820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018016).

1106820 is an abundant number, since it is smaller than the sum of its proper divisors (2929212).

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

1106820 is a wasteful number, since it uses less digits than its factorization.

1106820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1106820 is about 1052.0551316352. The cubic root of 1106820 is about 103.4409100503.

The spelling of 1106820 in words is "one million, one hundred six thousand, eight hundred twenty".