36209664 has 66 divisors (see below), whose sum is σ = 104581230. Its totient is φ = 12066816.

The previous prime is 36209651. The next prime is 36209669. The reversal of 36209664 is 46690263.

It can be written as a sum of positive squares in only one way, i.e., 24920064 + 11289600 = 4992^2 + 3360^2 .

It is a super-2 number, since 2×36209664² = 2622279533985792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36209669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7252 + ... + 11180.

Almost surely, 2^36209664 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 36209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52290615).

36209664 is an abundant number, since it is smaller than the sum of its proper divisors (68371566).

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

36209664 is a wasteful number, since it uses less digits than its factorization.

36209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36209664 is about 6017.4466345785. The cubic root of 36209664 is about 330.8324986214.

The spelling of 36209664 in words is "thirty-six million, two hundred nine thousand, six hundred sixty-four".