36865000 has 80 divisors (see below), whose sum is σ = 88424820. Its totient is φ = 14400000.

The previous prime is 36864991. The next prime is 36865001. The reversal of 36865000 is 56863.

It can be written as a sum of positive squares in 10 ways, for example, as 68644 + 36796356 = 262^2 + 6066^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36865000.

It is not an unprimeable number, because it can be changed into a prime (36865001) 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 19 ways as a sum of consecutive naturals, for example, 364950 + ... + 365050.

Almost surely, 2^36865000 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 36865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44212410).

36865000 is an abundant number, since it is smaller than the sum of its proper divisors (51559820).

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

36865000 is a wasteful number, since it uses less digits than its factorization.

36865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 36865000 is about 6071.6554579456. The cubic root of 36865000 is about 332.8164210416.

The spelling of 36865000 in words is "thirty-six million, eight hundred sixty-five thousand".