195900768 has 288 divisors, whose sum is σ = 682456320. Its totient is φ = 54120960.

The previous prime is 195900721. The next prime is 195900779. The reversal of 195900768 is 867009591.

195900768 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 (288).

It is a super-2 number, since 2×195900768² = 76754221805979648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3211458 + ... + 3211518.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^195900768 is an apocalyptic number.

195900768 is a gapful number since it is divisible by the number (18) 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 195900768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

195900768 is an abundant number, since it is smaller than the sum of its proper divisors (486555552).

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

195900768 is an equidigital number, since it uses as much as digits as its factorization.

195900768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 195900768 is about 13996.4555513173. The cubic root of 195900768 is about 580.7805266335.

The spelling of 195900768 in words is "one hundred ninety-five million, nine hundred thousand, seven hundred sixty-eight".