36987008 has 32 divisors (see below), whose sum is σ = 74440620. Its totient is φ = 18304000.

The previous prime is 36987007. The next prime is 36987017. The reversal of 36987008 is 80078963.

It can be written as a sum of positive squares in 2 ways, for example, as 33269824 + 3717184 = 5768^2 + 1928^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (36987001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11498 + ... + 14358.

Almost surely, 2^36987008 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 36987008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37220310).

36987008 is an abundant number, since it is smaller than the sum of its proper divisors (37453612).

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

36987008 is a wasteful number, since it uses less digits than its factorization.

36987008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 36987008 is about 6081.6945007128. The cubic root of 36987008 is about 333.1831785930.

The spelling of 36987008 in words is "thirty-six million, nine hundred eighty-seven thousand, eight".