195761664 has 360 divisors, whose sum is σ = 716059080. Its totient is φ = 52641792.

The previous prime is 195761663. The next prime is 195761669. The reversal of 195761664 is 466167591.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

195761664 is a `hidden beast` number, since 1 + 9 + 576 + 16 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195761663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11515384 + ... + 11515400.

It is an arithmetic number, because the mean of its divisors is an integer number (1989053).

Almost surely, 2^195761664 is an apocalyptic number.

195761664 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 195761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358029540).

195761664 is an abundant number, since it is smaller than the sum of its proper divisors (520297416).

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

195761664 is an equidigital number, since it uses as much as digits as its factorization.

195761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 195761664 is about 13991.4854107775. The cubic root of 195761664 is about 580.6430284079.

The spelling of 195761664 in words is "one hundred ninety-five million, seven hundred sixty-one thousand, six hundred sixty-four".