195961584 has 360 divisors, whose sum is σ = 698459760. Its totient is φ = 46964736.

The previous prime is 195961559. The next prime is 195961603. The reversal of 195961584 is 485169591.

195961584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6757282 + ... + 6757310.

It is an arithmetic number, because the mean of its divisors is an integer number (1940166).

Almost surely, 2^195961584 is an apocalyptic number.

195961584 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 195961584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349229880).

195961584 is an abundant number, since it is smaller than the sum of its proper divisors (502498176).

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

195961584 is a wasteful number, since it uses less digits than its factorization.

195961584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its digits is 388800, while the sum is 48.

The square root of 195961584 is about 13998.6279327654. The cubic root of 195961584 is about 580.8406201432.

The spelling of 195961584 in words is "one hundred ninety-five million, nine hundred sixty-one thousand, five hundred eighty-four".