195864768 has 168 divisors, whose sum is σ = 645078720. Its totient is φ = 56194560.

The previous prime is 195864763. The next prime is 195864793. The reversal of 195864768 is 867468591.

195864768 is a `hidden beast` number, since 1 + 95 + 86 + 476 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (195864763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119571 + ... + 121197.

Almost surely, 2^195864768 is an apocalyptic number.

195864768 is a gapful number since it is divisible by the number (18) 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 195864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322539360).

195864768 is an abundant number, since it is smaller than the sum of its proper divisors (449213952).

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

195864768 is a wasteful number, since it uses less digits than its factorization.

195864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1662 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 195864768 is about 13995.1694523503. The cubic root of 195864768 is about 580.7449484510.

The spelling of 195864768 in words is "one hundred ninety-five million, eight hundred sixty-four thousand, seven hundred sixty-eight".