36120168 has 80 divisors (see below), whose sum is σ = 115637280. Its totient is φ = 10318752.

The previous prime is 36120163. The next prime is 36120191. The reversal of 36120168 is 86102163.

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

It is not an unprimeable number, because it can be changed into a prime (36120163) 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, 555 + ... + 8517.

It is an arithmetic number, because the mean of its divisors is an integer number (1445466).

Almost surely, 2^36120168 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 36120168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57818640).

36120168 is an abundant number, since it is smaller than the sum of its proper divisors (79517112).

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

36120168 is a wasteful number, since it uses less digits than its factorization.

36120168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7988 (or 7975 counting only the distinct ones).

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

The square root of 36120168 is about 6010.0056572353. The cubic root of 36120168 is about 330.5597112969.

The spelling of 36120168 in words is "thirty-six million, one hundred twenty thousand, one hundred sixty-eight".