36806688 has 72 divisors (see below), whose sum is σ = 105316848. Its totient is φ = 12193152.

The previous prime is 36806681. The next prime is 36806711. The reversal of 36806688 is 88660863.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (36806681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65095 + ... + 65657.

It is an arithmetic number, because the mean of its divisors is an integer number (1462734).

Almost surely, 2^36806688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36806688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52658424).

36806688 is an abundant number, since it is smaller than the sum of its proper divisors (68510160).

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

36806688 is a wasteful number, since it uses less digits than its factorization.

36806688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 36806688 is about 6066.8515722737. The cubic root of 36806688 is about 332.6408486132.

The spelling of 36806688 in words is "thirty-six million, eight hundred six thousand, six hundred eighty-eight".