199975616 has 56 divisors (see below), whose sum is σ = 419977824. Its totient is φ = 94279680.

The previous prime is 199975609. The next prime is 199975621. The reversal of 199975616 is 616579991.

It is a happy number.

199975616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106526 + ... + 108386.

It is an arithmetic number, because the mean of its divisors is an integer number (7499604).

Almost surely, 2^199975616 is an apocalyptic number.

199975616 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 199975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209988912).

199975616 is an abundant number, since it is smaller than the sum of its proper divisors (220002208).

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

199975616 is a wasteful number, since it uses less digits than its factorization.

199975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1959 counting only the distinct ones).

The product of its digits is 918540, while the sum is 53.

The square root of 199975616 is about 14141.2734928648. The cubic root of 199975616 is about 584.7797802605.

The spelling of 199975616 in words is "one hundred ninety-nine million, nine hundred seventy-five thousand, six hundred sixteen".