199680880 has 160 divisors (see below), whose sum is σ = 571392000. Its totient is φ = 64689408.

The previous prime is 199680857. The next prime is 199680881. The reversal of 199680880 is 88086991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199680881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521169 + ... + 521551.

It is an arithmetic number, because the mean of its divisors is an integer number (3571200).

Almost surely, 2^199680880 is an apocalyptic number.

199680880 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 199680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696000).

199680880 is an abundant number, since it is smaller than the sum of its proper divisors (371711120).

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

199680880 is a wasteful number, since it uses less digits than its factorization.

199680880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The square root of 199680880 is about 14130.8485237087. The cubic root of 199680880 is about 584.4923445517.

The spelling of 199680880 in words is "one hundred ninety-nine million, six hundred eighty thousand, eight hundred eighty".