201999984 has 160 divisors (see below), whose sum is σ = 591390720. Its totient is φ = 59068416.

The previous prime is 201999971. The next prime is 201999991. The reversal of 201999984 is 489999102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881982 + ... + 882210.

It is an arithmetic number, because the mean of its divisors is an integer number (3696192).

Almost surely, 2^201999984 is an apocalyptic number.

201999984 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 201999984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295695360).

201999984 is an abundant number, since it is smaller than the sum of its proper divisors (389390736).

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

201999984 is a wasteful number, since it uses less digits than its factorization.

201999984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The square root of 201999984 is about 14212.6698406738. The cubic root of 201999984 is about 586.7464153526.

The spelling of 201999984 in words is "two hundred one million, nine hundred ninety-nine thousand, nine hundred eighty-four".