36805968 has 40 divisors (see below), whose sum is σ = 105648000. Its totient is φ = 12268512.

The previous prime is 36805961. The next prime is 36805973. The reversal of 36805968 is 86950863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36805961) 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 7 ways as a sum of consecutive naturals, for example, 42168 + ... + 43031.

It is an arithmetic number, because the mean of its divisors is an integer number (2641200).

Almost surely, 2^36805968 is an apocalyptic number.

It is an amenable number.

36805968 is an abundant number, since it is smaller than the sum of its proper divisors (68842032).

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

36805968 is a wasteful number, since it uses less digits than its factorization.

36805968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85216 (or 85204 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 36805968 is about 6066.7922331328. The cubic root of 36805968 is about 332.6386795964.

It can be divided in two parts, 36805 and 968, that added together give a palindrome (37773).

The spelling of 36805968 in words is "thirty-six million, eight hundred five thousand, nine hundred sixty-eight".