199360 has 56 divisors (see below), whose sum is σ = 548640. Its totient is φ = 67584.

The previous prime is 199357. The next prime is 199373. The reversal of 199360 is 63991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 2196 + ... + 2284.

2¹⁹⁹³⁶⁰ is an apocalyptic number.

199360 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 199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274320).

199360 is an abundant number, since it is smaller than the sum of its proper divisors (349280).

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

199360 is an equidigital number, since it uses as much as digits as its factorization.

199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 199360 is about 446.4974803960. The cubic root of 199360 is about 58.4179090630.

The spelling of 199360 in words is "one hundred ninety-nine thousand, three hundred sixty".