201618000 has 240 divisors, whose sum is σ = 736310016. Its totient is φ = 51321600.

The previous prime is 201617963. The next prime is 201618007. The reversal of 201618000 is 816102.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201618007) 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, 413757 + ... + 414243.

Almost surely, 2^201618000 is an apocalyptic number.

201618000 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 201618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368155008).

201618000 is an abundant number, since it is smaller than the sum of its proper divisors (534692016).

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

201618000 is a wasteful number, since it uses less digits than its factorization.

201618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 201618000 is about 14199.2253309820. The cubic root of 201618000 is about 586.3763341892.

The spelling of 201618000 in words is "two hundred one million, six hundred eighteen thousand".