1106496 has 84 divisors (see below), whose sum is σ = 3387852. Its totient is φ = 344064.

The previous prime is 1106491. The next prime is 1106509. The reversal of 1106496 is 6946011.

1106496 is a `hidden beast` number, since 1 + 10 + 649 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 746496 = 600^2 + 864^2 .

It is a super-3 number, since 3×1106496³ = 4064160022713335808, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1106491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9736 + ... + 9848.

2^1106496 is an apocalyptic number.

1106496 is a gapful number since it is divisible by the number (16) 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 1106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693926).

1106496 is an abundant number, since it is smaller than the sum of its proper divisors (2281356).

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

1106496 is a wasteful number, since it uses less digits than its factorization.

1106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1106496 is about 1051.9011360389. The cubic root of 1106496 is about 103.4308156279.

The spelling of 1106496 in words is "one million, one hundred six thousand, four hundred ninety-six".