36627136 has 112 divisors (see below), whose sum is σ = 94447360. Its totient is φ = 13685760.

The previous prime is 36627133. The next prime is 36627137. The reversal of 36627136 is 63172663.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36627133) by changing a digit.

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, 110491 + ... + 110821.

It is an arithmetic number, because the mean of its divisors is an integer number (843280).

Almost surely, 2^36627136 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 36627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223680).

36627136 is an abundant number, since it is smaller than the sum of its proper divisors (57820224).

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

36627136 is a wasteful number, since it uses less digits than its factorization.

36627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The square root of 36627136 is about 6052.0356905755. The cubic root of 36627136 is about 332.0990656127.

Adding to 36627136 its reverse (63172663), we get a palindrome (99799799).

It can be divided in two parts, 36627 and 136, that added together give a palindrome (36763).

The spelling of 36627136 in words is "thirty-six million, six hundred twenty-seven thousand, one hundred thirty-six".