36664056 has 128 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 10247040.

The previous prime is 36664051. The next prime is 36664057. The reversal of 36664056 is 65046663.

It is a super-2 number, since 2×36664056² = 2688506004742272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36664056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36664051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30295 + ... + 31481.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 2^36664056 is an apocalyptic number.

36664056 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 36664056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

36664056 is an abundant number, since it is smaller than the sum of its proper divisors (83086344).

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

36664056 is a wasteful number, since it uses less digits than its factorization.

36664056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 36664056 is about 6055.0851356525. The cubic root of 36664056 is about 332.2106129647.

The spelling of 36664056 in words is "thirty-six million, six hundred sixty-four thousand, fifty-six".