1166409 has 24 divisors (see below), whose sum is σ = 1801800. Its totient is φ = 725760.

The previous prime is 1166401. The next prime is 1166411. The reversal of 1166409 is 9046611.

1166409 = T₁₂₆ + T₁₂₇ + ... + T₂₀₇.

1166409 is a `hidden beast` number, since 1 + 16 + 640 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 1108809 = 240^2 + 1053^2 .

It is not a de Polignac number, because 1166409 - 2³ = 1166401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1166401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10647 + ... + 10755.

It is an arithmetic number, because the mean of its divisors is an integer number (75075).

2^1166409 is an apocalyptic number.

It is an amenable number.

1166409 is a deficient number, since it is larger than the sum of its proper divisors (635391).

1166409 is a wasteful number, since it uses less digits than its factorization.

1166409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

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

The square root of 1166409 is about 1080.0041666586. The cubic root of 1166409 is about 105.2649093173.

The spelling of 1166409 in words is "one million, one hundred sixty-six thousand, four hundred nine".