199982720 has 128 divisors (see below), whose sum is σ = 558144000. Its totient is φ = 68490240.

The previous prime is 199982719. The next prime is 199982729. The reversal of 199982720 is 27289991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (199982729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219065 + ... + 219975.

It is an arithmetic number, because the mean of its divisors is an integer number (4360500).

Almost surely, 2^199982720 is an apocalyptic number.

199982720 is a gapful number since it is divisible by the number (10) 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 199982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279072000).

199982720 is an abundant number, since it is smaller than the sum of its proper divisors (358161280).

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

199982720 is an frugal number, since it uses more digits than its factorization.

199982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The square root of 199982720 is about 14141.5246702751. The cubic root of 199982720 is about 584.7867048153.

The spelling of 199982720 in words is "one hundred ninety-nine million, nine hundred eighty-two thousand, seven hundred twenty".