195216 has 60 divisors (see below), whose sum is σ = 593712. Its totient is φ = 55104.

The previous prime is 195203. The next prime is 195229. The reversal of 195216 is 612591.

195216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (195203) and next prime (195229).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (540) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

195216 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, 2311 + ... + 2393.

2¹⁹⁵²¹⁶ is an apocalyptic number.

195216 is a gapful number since it is divisible by the number (16) 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 195216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

195216 is an abundant number, since it is smaller than the sum of its proper divisors (398496).

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

195216 is a wasteful number, since it uses less digits than its factorization.

195216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 195216 is about 441.8325474657. The cubic root of 195216 is about 58.0103033618.

The spelling of 195216 in words is "one hundred ninety-five thousand, two hundred sixteen".