36887136 has 96 divisors (see below), whose sum is σ = 113799168. Its totient is φ = 10314240.

The previous prime is 36887107. The next prime is 36887153. The reversal of 36887136 is 63178863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 12385 + ... + 15071.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 2^36887136 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 36887136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56899584).

36887136 is an abundant number, since it is smaller than the sum of its proper divisors (76912032).

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

36887136 is a wasteful number, since it uses less digits than its factorization.

36887136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 36887136 is about 6073.4780809681. The cubic root of 36887136 is about 332.8830221557.

The spelling of 36887136 in words is "thirty-six million, eight hundred eighty-seven thousand, one hundred thirty-six".