195679680 has 224 divisors, whose sum is σ = 730154496. Its totient is φ = 43462656.

The previous prime is 195679663. The next prime is 195679681. The reversal of 195679680 is 86976591.

195679680 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 (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195679681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248247 + ... + 249033.

Almost surely, 2^195679680 is an apocalyptic number.

195679680 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 195679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365077248).

195679680 is an abundant number, since it is smaller than the sum of its proper divisors (534474816).

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

195679680 is a wasteful number, since it uses less digits than its factorization.

195679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 195679680 is about 13988.5553221196. Note that the first 3 decimals coincide. The cubic root of 195679680 is about 580.5619602969.

The spelling of 195679680 in words is "one hundred ninety-five million, six hundred seventy-nine thousand, six hundred eighty".