36827136 has 156 divisors (see below), whose sum is σ = 113297912. Its totient is φ = 11943936.

The previous prime is 36827081. The next prime is 36827171. The reversal of 36827136 is 63172863.

It is a happy number.

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

Its product of digits (36288) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 36827136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995310 + ... + 995346.

Almost surely, 2^36827136 is an apocalyptic number.

36827136 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 36827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56648956).

36827136 is an abundant number, since it is smaller than the sum of its proper divisors (76470776).

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

36827136 is an frugal number, since it uses more digits than its factorization.

36827136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36827136 is about 6068.5365616432. The cubic root of 36827136 is about 332.7024368846.

Adding to 36827136 its reverse (63172863), we get a palindrome (99999999).

It can be divided in two parts, 36827 and 136, that added together give a palindrome (36963).

The spelling of 36827136 in words is "thirty-six million, eight hundred twenty-seven thousand, one hundred thirty-six".