27900018 has 64 divisors (see below), whose sum is σ = 66355200. Its totient is φ = 8663760.

The previous prime is 27900017. The next prime is 27900023. The reversal of 27900018 is 81000972.

It is a super-2 number, since 2×27900018² = 1556822008800648, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27899964 and 27900000.

It is not an unprimeable number, because it can be changed into a prime (27900011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72655 + ... + 73037.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 2^27900018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27900018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33177600).

27900018 is an abundant number, since it is smaller than the sum of its proper divisors (38455182).

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

27900018 is a wasteful number, since it uses less digits than its factorization.

27900018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 27900018 is about 5282.0467623829. The cubic root of 27900018 is about 303.2970325141.

The spelling of 27900018 in words is "twenty-seven million, nine hundred thousand, eighteen".