195813680 has 40 divisors (see below), whose sum is σ = 458875392. Its totient is φ = 77704704.

The previous prime is 195813661. The next prime is 195813749. The reversal of 195813680 is 86318591.

195813680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524 + ... + 19796.

Almost surely, 2^195813680 is an apocalyptic number.

195813680 is a gapful number since it is divisible by the number (10) 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 195813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229437696).

195813680 is an abundant number, since it is smaller than the sum of its proper divisors (263061712).

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

195813680 is a wasteful number, since it uses less digits than its factorization.

195813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19413 (or 19407 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 195813680 is about 13993.3441321222. The cubic root of 195813680 is about 580.6944515730.

The spelling of 195813680 in words is "one hundred ninety-five million, eight hundred thirteen thousand, six hundred eighty".