195264 has 56 divisors (see below), whose sum is σ = 579120. Its totient is φ = 64512.

The previous prime is 195259. The next prime is 195271. The reversal of 195264 is 462591.

195264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

195264 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 7 ways as a sum of consecutive naturals, for example, 1672 + ... + 1784.

2¹⁹⁵²⁶⁴ 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 195264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289560).

195264 is an abundant number, since it is smaller than the sum of its proper divisors (383856).

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

195264 is a wasteful number, since it uses less digits than its factorization.

195264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 195264 is about 441.8868633485. The cubic root of 195264 is about 58.0150575253.

It can be divided in two parts, 1952 and 64, that added together give a triangular number (2016 = T₆₃).

The spelling of 195264 in words is "one hundred ninety-five thousand, two hundred sixty-four".