201801984 has 72 divisors (see below), whose sum is σ = 541578240. Its totient is φ = 66705408.

The previous prime is 201801949. The next prime is 201801989. The reversal of 201801984 is 489108102.

It is not an unprimeable number, because it can be changed into a prime (201801989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96502 + ... + 98570.

It is an arithmetic number, because the mean of its divisors is an integer number (7521920).

Almost surely, 2^201801984 is an apocalyptic number.

201801984 is a gapful number since it is divisible by the number (24) 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 201801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270789120).

201801984 is an abundant number, since it is smaller than the sum of its proper divisors (339776256).

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

201801984 is a wasteful number, since it uses less digits than its factorization.

201801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 201801984 is about 14205.7025169472. The cubic root of 201801984 is about 586.5546434408.

The spelling of 201801984 in words is "two hundred one million, eight hundred one thousand, nine hundred eighty-four".