36165280 has 96 divisors (see below), whose sum is σ = 90493200. Its totient is φ = 13639680.

The previous prime is 36165271. The next prime is 36165287. The reversal of 36165280 is 8256163.

It can be written as a sum of positive squares in 8 ways, for example, as 6615184 + 29550096 = 2572^2 + 5436^2 .

It is not an unprimeable number, because it can be changed into a prime (36165287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242646 + ... + 242794.

Almost surely, 2^36165280 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 36165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45246600).

36165280 is an abundant number, since it is smaller than the sum of its proper divisors (54327920).

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

36165280 is a wasteful number, since it uses less digits than its factorization.

36165280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 36165280 is about 6013.7575607934. The cubic root of 36165280 is about 330.6972706962.

The spelling of 36165280 in words is "thirty-six million, one hundred sixty-five thousand, two hundred eighty".