199620 has 36 divisors (see below), whose sum is σ = 606060. Its totient is φ = 53184.

The previous prime is 199603. The next prime is 199621. The reversal of 199620 is 26991.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 171396 = 168^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199620.

It is not an unprimeable number, because it can be changed into a prime (199621) by changing a digit.

199620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (16835).

2¹⁹⁹⁶²⁰ is an apocalyptic number.

199620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199620 is an abundant number, since it is smaller than the sum of its proper divisors (406440).

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

199620 is a wasteful number, since it uses less digits than its factorization.

199620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 199620 is about 446.7885405872. The cubic root of 199620 is about 58.4432937243.

It can be divided in two parts, 1996 and 20, that added together give a triangular number (2016 = T₆₃).

The spelling of 199620 in words is "one hundred ninety-nine thousand, six hundred twenty".