199616000 has 80 divisors (see below), whose sum is σ = 497914560. Its totient is φ = 79820800.

The previous prime is 199615979. The next prime is 199616017. The reversal of 199616000 is 616991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62441 + ... + 65559.

It is an arithmetic number, because the mean of its divisors is an integer number (6223932).

Almost surely, 2^199616000 is an apocalyptic number.

199616000 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 199616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248957280).

199616000 is an abundant number, since it is smaller than the sum of its proper divisors (298298560).

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

199616000 is an frugal number, since it uses more digits than its factorization.

199616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 199616000 is about 14128.5526505725. The cubic root of 199616000 is about 584.4290335807.

The spelling of 199616000 in words is "one hundred ninety-nine million, six hundred sixteen thousand".