199688016 has 80 divisors (see below), whose sum is σ = 567249408. Its totient is φ = 60028800.

The previous prime is 199688011. The next prime is 199688023. The reversal of 199688016 is 610886991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199688011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67725 + ... + 70611.

Almost surely, 2^199688016 is an apocalyptic number.

199688016 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 199688016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283624704).

199688016 is an abundant number, since it is smaller than the sum of its proper divisors (367561392).

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

199688016 is a wasteful number, since it uses less digits than its factorization.

199688016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 199688016 is about 14131.1010186751. The cubic root of 199688016 is about 584.4993071407.

The spelling of 199688016 in words is "one hundred ninety-nine million, six hundred eighty-eight thousand, sixteen".