195906816 has 144 divisors (see below), whose sum is σ = 662256000. Its totient is φ = 55959552.

The previous prime is 195906811. The next prime is 195906817. The reversal of 195906816 is 618609591.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195906811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46360 + ... + 50408.

It is an arithmetic number, because the mean of its divisors is an integer number (4599000).

Almost surely, 2^195906816 is an apocalyptic number.

195906816 is a gapful number since it is divisible by the number (16) 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 195906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331128000).

195906816 is an abundant number, since it is smaller than the sum of its proper divisors (466349184).

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

195906816 is an equidigital number, since it uses as much as digits as its factorization.

195906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 195906816 is about 13996.6716043494. The cubic root of 195906816 is about 580.7865033405.

The spelling of 195906816 in words is "one hundred ninety-five million, nine hundred six thousand, eight hundred sixteen".