199776 has 24 divisors (see below), whose sum is σ = 524664. Its totient is φ = 66560.

The previous prime is 199753. The next prime is 199777. The reversal of 199776 is 677991.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199777) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 945 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (21861).

2¹⁹⁹⁷⁷⁶ is an apocalyptic number.

199776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199776 is an abundant number, since it is smaller than the sum of its proper divisors (324888).

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

199776 is a wasteful number, since it uses less digits than its factorization.

199776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2086 counting only the distinct ones).

The product of its digits is 23814, while the sum is 39.

The square root of 199776 is about 446.9630857241. The cubic root of 199776 is about 58.4585139425.

The spelling of 199776 in words is "one hundred ninety-nine thousand, seven hundred seventy-six".