195877200 has 240 divisors, whose sum is σ = 673099776. Its totient is φ = 48576000.

The previous prime is 195877183. The next prime is 195877207. The reversal of 195877200 is 2778591.

195877200 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 (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195877207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297125 + ... + 1297275.

Almost surely, 2^195877200 is an apocalyptic number.

195877200 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 195877200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336549888).

195877200 is an abundant number, since it is smaller than the sum of its proper divisors (477222576).

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

195877200 is a wasteful number, since it uses less digits than its factorization.

195877200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 195877200 is about 13995.6135985529. The cubic root of 195877200 is about 580.7572352761.

The spelling of 195877200 in words is "one hundred ninety-five million, eight hundred seventy-seven thousand, two hundred".