195085800 has 384 divisors, whose sum is σ = 829113600. Its totient is φ = 41057280.

The previous prime is 195085789. The next prime is 195085819. The reversal of 195085800 is 8580591.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491202 + ... + 491598.

It is an arithmetic number, because the mean of its divisors is an integer number (2159150).

Almost surely, 2^195085800 is an apocalyptic number.

195085800 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 195085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414556800).

195085800 is an abundant number, since it is smaller than the sum of its proper divisors (634027800).

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

195085800 is a wasteful number, since it uses less digits than its factorization.

195085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 195085800 is about 13967.3118387183. The cubic root of 195085800 is about 579.9740376805.

The spelling of 195085800 in words is "one hundred ninety-five million, eighty-five thousand, eight hundred".