199864 has 32 divisors (see below), whose sum is σ = 443520. Its totient is φ = 82656.

The previous prime is 199853. The next prime is 199873. The reversal of 199864 is 468991.

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, 2367 + ... + 2449.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2¹⁹⁹⁸⁶⁴ is an apocalyptic number.

199864 is a gapful number since it is divisible by the number (14) 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 199864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760).

199864 is an abundant number, since it is smaller than the sum of its proper divisors (243656).

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

199864 is a wasteful number, since it uses less digits than its factorization.

199864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 199864 is about 447.0615170197. The cubic root of 199864 is about 58.4670962115.

The spelling of 199864 in words is "one hundred ninety-nine thousand, eight hundred sixty-four".