195417664 has 56 divisors (see below), whose sum is σ = 419430200. Its totient is φ = 89800704.

The previous prime is 195417659. The next prime is 195417713. The reversal of 195417664 is 466714591.

It can be written as a sum of positive squares in 4 ways, for example, as 10240000 + 185177664 = 3200^2 + 13608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 195417664.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 290032 + ... + 290704.

It is an arithmetic number, because the mean of its divisors is an integer number (7489825).

Almost surely, 2^195417664 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 195417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209715100).

195417664 is an abundant number, since it is smaller than the sum of its proper divisors (224012536).

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

195417664 is a wasteful number, since it uses less digits than its factorization.

195417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1037 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 195417664 is about 13979.1868146899. The cubic root of 195417664 is about 580.3027195008.

The spelling of 195417664 in words is "one hundred ninety-five million, four hundred seventeen thousand, six hundred sixty-four".