199888560 has 200 divisors, whose sum is σ = 703087440. Its totient is φ = 52627968.

The previous prime is 199888543. The next prime is 199888573. The reversal of 199888560 is 65888991.

199888560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199888497 and 199888506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 706179 + ... + 706461.

Almost surely, 2^199888560 is an apocalyptic number.

199888560 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 199888560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351543720).

199888560 is an abundant number, since it is smaller than the sum of its proper divisors (503198880).

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

199888560 is a wasteful number, since it uses less digits than its factorization.

199888560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 199888560 is about 14138.1950757514. The cubic root of 199888560 is about 584.6949099502.

The spelling of 199888560 in words is "one hundred ninety-nine million, eight hundred eighty-eight thousand, five hundred sixty".