195912864 has 192 divisors, whose sum is σ = 676166400. Its totient is φ = 53996544.

The previous prime is 195912853. The next prime is 195912869. The reversal of 195912864 is 468219591.

It is not an unprimeable number, because it can be changed into a prime (195912869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174834 + ... + 175950.

It is an arithmetic number, because the mean of its divisors is an integer number (3521700).

Almost surely, 2^195912864 is an apocalyptic number.

195912864 is a gapful number since it is divisible by the number (14) 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 195912864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338083200).

195912864 is an abundant number, since it is smaller than the sum of its proper divisors (480253536).

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

195912864 is a wasteful number, since it uses less digits than its factorization.

195912864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1158 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 195912864 is about 13996.8876540465. The cubic root of 195912864 is about 580.7924799245.

The spelling of 195912864 in words is "one hundred ninety-five million, nine hundred twelve thousand, eight hundred sixty-four".