36612160 has 84 divisors (see below), whose sum is σ = 94544388. Its totient is φ = 13498368.

The previous prime is 36612143. The next prime is 36612187. The reversal of 36612160 is 6121663.

It can be written as a sum of positive squares in 6 ways, for example, as 419904 + 36192256 = 648^2 + 6016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53742 + ... + 54418.

Almost surely, 2^36612160 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 36612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47272194).

36612160 is an abundant number, since it is smaller than the sum of its proper divisors (57932228).

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

36612160 is a wasteful number, since it uses less digits than its factorization.

36612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 36612160 is about 6050.7982944402. The cubic root of 36612160 is about 332.0537968661.

The spelling of 36612160 in words is "thirty-six million, six hundred twelve thousand, one hundred sixty".