199390880 has 96 divisors (see below), whose sum is σ = 510635664. Its totient is φ = 73138176.

The previous prime is 199390879. The next prime is 199390901. The reversal of 199390880 is 88093991.

199390880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 116726416 + 82664464 = 10804^2 + 9092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534374 + ... + 534746.

Almost surely, 2^199390880 is an apocalyptic number.

199390880 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 199390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255317832).

199390880 is an abundant number, since it is smaller than the sum of its proper divisors (311244784).

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

199390880 is a wasteful number, since it uses less digits than its factorization.

199390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 47.

The square root of 199390880 is about 14120.5835573463. The cubic root of 199390880 is about 584.2092513424.

The spelling of 199390880 in words is "one hundred ninety-nine million, three hundred ninety thousand, eight hundred eighty".