36986208 has 96 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 10103808.

The previous prime is 36986177. The next prime is 36986219. The reversal of 36986208 is 80268963.

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 Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 36986208.

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, 14260 + ... + 16652.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 2^36986208 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 36986208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

36986208 is an abundant number, since it is smaller than the sum of its proper divisors (78845088).

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

36986208 is a wasteful number, since it uses less digits than its factorization.

36986208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 36986208 is about 6081.6287292139. The cubic root of 36986208 is about 333.1807764120.

The spelling of 36986208 in words is "thirty-six million, nine hundred eighty-six thousand, two hundred eight".