36668801 has 16 divisors (see below), whose sum is σ = 40960080. Its totient is φ = 32609280.

The previous prime is 36668777. The next prime is 36668833. The reversal of 36668801 is 10886663.

It can be written as a sum of positive squares in 8 ways, for example, as 22800625 + 13868176 = 4775^2 + 3724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36668801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36668851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47051 + ... + 47823.

It is an arithmetic number, because the mean of its divisors is an integer number (2560005).

Almost surely, 2^36668801 is an apocalyptic number.

It is an amenable number.

36668801 is a deficient number, since it is larger than the sum of its proper divisors (4291279).

36668801 is a wasteful number, since it uses less digits than its factorization.

36668801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 36668801 is about 6055.4769424051. The cubic root of 36668801 is about 332.2249437247.

The spelling of 36668801 in words is "thirty-six million, six hundred sixty-eight thousand, eight hundred one".