199960000 has 70 divisors (see below), whose sum is σ = 495935000. Its totient is φ = 79968000.

The previous prime is 199959989. The next prime is 199960003. The reversal of 199960000 is 69991.

It is a happy number.

199960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199960003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37501 + ... + 42499.

Almost surely, 2^199960000 is an apocalyptic number.

199960000 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 199960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247967500).

199960000 is an abundant number, since it is smaller than the sum of its proper divisors (295975000).

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

199960000 is an frugal number, since it uses more digits than its factorization.

199960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 34.

The square root of 199960000 is about 14140.7213394508. The cubic root of 199960000 is about 584.7645581400.

The spelling of 199960000 in words is "one hundred ninety-nine million, nine hundred sixty thousand".