36665216 has 64 divisors (see below), whose sum is σ = 84341760. Its totient is φ = 15552000.

The previous prime is 36665203. The next prime is 36665249. The reversal of 36665216 is 61256663.

36665216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 135161 + ... + 135431.

It is an arithmetic number, because the mean of its divisors is an integer number (1317840).

Almost surely, 2^36665216 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 36665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42170880).

36665216 is an abundant number, since it is smaller than the sum of its proper divisors (47676544).

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

36665216 is a wasteful number, since it uses less digits than its factorization.

36665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 36665216 is about 6055.1809221525. The cubic root of 36665216 is about 332.2141164891.

The spelling of 36665216 in words is "thirty-six million, six hundred sixty-five thousand, two hundred sixteen".