36585216 has 144 divisors (see below), whose sum is σ = 111193600. Its totient is φ = 11860992.

The previous prime is 36585209. The next prime is 36585229. The reversal of 36585216 is 61258563.

36585216 is a `hidden beast` number, since 365 + 85 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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, 463065 + ... + 463143.

Almost surely, 2^36585216 is an apocalyptic number.

36585216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55596800).

36585216 is an abundant number, since it is smaller than the sum of its proper divisors (74608384).

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

36585216 is an equidigital number, since it uses as much as digits as its factorization.

36585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 36585216 is about 6048.5714015791. The cubic root of 36585216 is about 331.9723207195.

The spelling of 36585216 in words is "thirty-six million, five hundred eighty-five thousand, two hundred sixteen".