36218160 has 240 divisors, whose sum is σ = 141017760. Its totient is φ = 8232960.

The previous prime is 36218159. The next prime is 36218167. The reversal of 36218160 is 6181263.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×36218160² = 2623510227571200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36218167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134506 + ... + 134774.

It is an arithmetic number, because the mean of its divisors is an integer number (587574).

Almost surely, 2^36218160 is an apocalyptic number.

36218160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70508880).

36218160 is an abundant number, since it is smaller than the sum of its proper divisors (104799600).

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

36218160 is a wasteful number, since it uses less digits than its factorization.

36218160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

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

The square root of 36218160 is about 6018.1525404396. The cubic root of 36218160 is about 330.8583713931.

It can be divided in two parts, 3621 and 8160, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 36218160 in words is "thirty-six million, two hundred eighteen thousand, one hundred sixty".