36180018 has 48 divisors (see below), whose sum is σ = 90507456. Its totient is φ = 10231200.

The previous prime is 36179981. The next prime is 36180037. The reversal of 36180018 is 81008163.

It is a junction number, because it is equal to n+sod(n) for n = 36179973 and 36180000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11305 + ... + 14147.

It is an arithmetic number, because the mean of its divisors is an integer number (1885572).

Almost surely, 2^36180018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36180018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45253728).

36180018 is an abundant number, since it is smaller than the sum of its proper divisors (54327438).

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

36180018 is a wasteful number, since it uses less digits than its factorization.

36180018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 36180018 is about 6014.9827929928. The cubic root of 36180018 is about 330.7421862844.

The spelling of 36180018 in words is "thirty-six million, one hundred eighty thousand, eighteen".