199288080 has 160 divisors (see below), whose sum is σ = 691027200. Its totient is φ = 52789248.

The previous prime is 199288069. The next prime is 199288081. The reversal of 199288080 is 80882991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (199288081) 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, 554941 + ... + 555299.

It is an arithmetic number, because the mean of its divisors is an integer number (4318920).

Almost surely, 2^199288080 is an apocalyptic number.

199288080 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 199288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345513600).

199288080 is an abundant number, since it is smaller than the sum of its proper divisors (491739120).

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

199288080 is a wasteful number, since it uses less digits than its factorization.

199288080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 199288080 is about 14116.9430118564. The cubic root of 199288080 is about 584.1088337855.

The spelling of 199288080 in words is "one hundred ninety-nine million, two hundred eighty-eight thousand, eighty".