199264 has 24 divisors (see below), whose sum is σ = 423360. Its totient is φ = 91776.

The previous prime is 199261. The next prime is 199267. The reversal of 199264 is 462991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199261) and next prime (199267).

It is a super-2 number, since 2×199264² = 79412283392, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199261) 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, 177 + ... + 655.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2¹⁹⁹²⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

199264 is an abundant number, since it is smaller than the sum of its proper divisors (224096).

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

199264 is a wasteful number, since it uses less digits than its factorization.

199264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 199264 is about 446.3899640449. The cubic root of 199264 is about 58.4085306860.

The spelling of 199264 in words is "one hundred ninety-nine thousand, two hundred sixty-four".