199290880 has 104 divisors (see below), whose sum is σ = 493032672. Its totient is φ = 77266944.

The previous prime is 199290859. The next prime is 199290899. The reversal of 199290880 is 88092991.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 199290880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757629 + ... + 757891.

Almost surely, 2^199290880 is an apocalyptic number.

199290880 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 199290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246516336).

199290880 is an abundant number, since it is smaller than the sum of its proper divisors (293741792).

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

199290880 is an equidigital number, since it uses as much as digits as its factorization.

199290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The square root of 199290880 is about 14117.0421831204. The cubic root of 199290880 is about 584.1115693515. Note that the first 3 decimals are identical.

The spelling of 199290880 in words is "one hundred ninety-nine million, two hundred ninety thousand, eight hundred eighty".