270198000 has 240 divisors, whose sum is σ = 1000355616. Its totient is φ = 67737600.

The previous prime is 270197989. The next prime is 270198007. The reversal of 270198000 is 891072.

270198000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270198007) 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, 305559 + ... + 306441.

Almost surely, 2^270198000 is an apocalyptic number.

270198000 is a gapful number since it is divisible by the number (20) 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 270198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500177808).

270198000 is an abundant number, since it is smaller than the sum of its proper divisors (730157616).

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

270198000 is a wasteful number, since it uses less digits than its factorization.

270198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 910 counting only the distinct ones).

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

The square root of 270198000 is about 16437.7005691185. The cubic root of 270198000 is about 646.4883602823.

The spelling of 270198000 in words is "two hundred seventy million, one hundred ninety-eight thousand".