10764009 has 20 divisors (see below), whose sum is σ = 17027604. Its totient is φ = 6753024.

The previous prime is 10763983. The next prime is 10764049. The reversal of 10764009 is 90046701.

10764009 is a `hidden beast` number, since 10 + 7 + 640 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3080025 + 7683984 = 1755^2 + 2772^2 .

It is not a de Polignac number, because 10764009 - 2¹⁵ = 10731241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10764049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2532 + ... + 5285.

Almost surely, 2^10764009 is an apocalyptic number.

It is an amenable number.

10764009 is a deficient number, since it is larger than the sum of its proper divisors (6263595).

10764009 is an equidigital number, since it uses as much as digits as its factorization.

10764009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10764009 is about 3280.8549190722. The cubic root of 10764009 is about 220.7960759581.

The spelling of 10764009 in words is "ten million, seven hundred sixty-four thousand, nine".