195963312 has 80 divisors (see below), whose sum is σ = 532465920. Its totient is φ = 61982976.

The previous prime is 195963281. The next prime is 195963323. The reversal of 195963312 is 213369591.

195963312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152818 + ... + 154094.

It is an arithmetic number, because the mean of its divisors is an integer number (6655824).

Almost surely, 2^195963312 is an apocalyptic number.

195963312 is a gapful number since it is divisible by the number (12) 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 195963312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266232960).

195963312 is an abundant number, since it is smaller than the sum of its proper divisors (336502608).

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

195963312 is a wasteful number, since it uses less digits than its factorization.

195963312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1444 counting only the distinct ones).

The product of its digits is 43740, while the sum is 39.

The square root of 195963312 is about 13998.6896529640. The cubic root of 195963312 is about 580.8423274330.

It can be divided in two parts, 19 and 5963312, that added together give a triangular number (5963331 = T₃₄₅₃).

The spelling of 195963312 in words is "one hundred ninety-five million, nine hundred sixty-three thousand, three hundred twelve".