36663264 has 144 divisors (see below), whose sum is σ = 116049024. Its totient is φ = 10886400.

The previous prime is 36663251. The next prime is 36663287. The reversal of 36663264 is 46236663.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224847 + ... + 225009.

It is an arithmetic number, because the mean of its divisors is an integer number (805896).

Almost surely, 2^36663264 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 36663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58024512).

36663264 is an abundant number, since it is smaller than the sum of its proper divisors (79385760).

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

36663264 is a wasteful number, since it uses less digits than its factorization.

36663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 36663264 is about 6055.0197357234. The cubic root of 36663264 is about 332.2082208608.

The spelling of 36663264 in words is "thirty-six million, six hundred sixty-three thousand, two hundred sixty-four".