201870000 has 150 divisors (see below), whose sum is σ = 706283292. Its totient is φ = 53808000.

The previous prime is 201869989. The next prime is 201870007. The reversal of 201870000 is 78102.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is not an unprimeable number, because it can be changed into a prime (201870007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 88879 + ... + 91121.

Almost surely, 2^201870000 is an apocalyptic number.

201870000 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 201870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353141646).

201870000 is an abundant number, since it is smaller than the sum of its proper divisors (504413292).

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

201870000 is a wasteful number, since it uses less digits than its factorization.

201870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 201870000 is about 14208.0962834575. The cubic root of 201870000 is about 586.6205341365.

The spelling of 201870000 in words is "two hundred one million, eight hundred seventy thousand".