1106768 has 40 divisors (see below), whose sum is σ = 2452968. Its totient is φ = 479232.

The previous prime is 1106767. The next prime is 1106771. The reversal of 1106768 is 8676011.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 1106704 = 8^2 + 1052^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1106768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106761) 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, 3380 + ... + 3692.

2^1106768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226484).

1106768 is an abundant number, since it is smaller than the sum of its proper divisors (1346200).

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

1106768 is a wasteful number, since it uses less digits than its factorization.

1106768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1106768 is about 1052.0304178112. The cubic root of 1106768 is about 103.4392900905.

The spelling of 1106768 in words is "one million, one hundred six thousand, seven hundred sixty-eight".