36201168 has 60 divisors (see below), whose sum is σ = 105076608. Its totient is φ = 12065760.

The previous prime is 36201167. The next prime is 36201199. The reversal of 36201168 is 86110263.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36201167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768 + ... + 8543.

Almost surely, 2^36201168 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 36201168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52538304).

36201168 is an abundant number, since it is smaller than the sum of its proper divisors (68875440).

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

36201168 is an equidigital number, since it uses as much as digits as its factorization.

36201168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 36201168 is about 6016.7406458979. The cubic root of 36201168 is about 330.8066218024.

The spelling of 36201168 in words is "thirty-six million, two hundred one thousand, one hundred sixty-eight".