199880016 has 120 divisors (see below), whose sum is σ = 636120000. Its totient is φ = 53738496.

The previous prime is 199880003. The next prime is 199880069. The reversal of 199880016 is 610088991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 199880016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37485 + ... + 42483.

It is an arithmetic number, because the mean of its divisors is an integer number (5301000).

Almost surely, 2^199880016 is an apocalyptic number.

199880016 is a gapful number since it is divisible by the number (16) 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 199880016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318060000).

199880016 is an abundant number, since it is smaller than the sum of its proper divisors (436239984).

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

199880016 is a wasteful number, since it uses less digits than its factorization.

199880016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 199880016 is about 14137.8929123119. The cubic root of 199880016 is about 584.6865791341.

The spelling of 199880016 in words is "one hundred ninety-nine million, eight hundred eighty thousand, sixteen".