201884160 has 160 divisors (see below), whose sum is σ = 654458112. Its totient is φ = 53084160.

The previous prime is 201884149. The next prime is 201884171. The reversal of 201884160 is 61488102.

It is an interprime number because it is at equal distance from previous prime (201884149) and next prime (201884171).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744825 + ... + 745095.

Almost surely, 2^201884160 is an apocalyptic number.

201884160 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 201884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327229056).

201884160 is an abundant number, since it is smaller than the sum of its proper divisors (452573952).

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

201884160 is an equidigital number, since it uses as much as digits as its factorization.

201884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 201884160 is about 14208.5945821534. The cubic root of 201884160 is about 586.6342498158.

The spelling of 201884160 in words is "two hundred one million, eight hundred eighty-four thousand, one hundred sixty".