36000180 has 96 divisors (see below), whose sum is σ = 112963200. Its totient is φ = 9517824.

The previous prime is 36000179. The next prime is 36000199. The reversal of 36000180 is 8100063.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 87816 + ... + 88224.

It is an arithmetic number, because the mean of its divisors is an integer number (1176700).

Almost surely, 2^36000180 is an apocalyptic number.

36000180 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 36000180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56481600).

36000180 is an abundant number, since it is smaller than the sum of its proper divisors (76963020).

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

36000180 is a wasteful number, since it uses less digits than its factorization.

36000180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36000180 is about 6000.0149999813. The cubic root of 36000180 is about 330.1932752098.

The spelling of 36000180 in words is "thirty-six million, one hundred eighty", and thus it is an aban number.