195808320 has 224 divisors, whose sum is σ = 700064640. Its totient is φ = 51517440.

The previous prime is 195808309. The next prime is 195808331. The reversal of 195808320 is 23808591.

It is an interprime number because it is at equal distance from previous prime (195808309) and next prime (195808331).

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 31 ways as a sum of consecutive naturals, for example, 1131754 + ... + 1131926.

Almost surely, 2^195808320 is an apocalyptic number.

195808320 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 195808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350032320).

195808320 is an abundant number, since it is smaller than the sum of its proper divisors (504256320).

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

195808320 is a wasteful number, since it uses less digits than its factorization.

195808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 195808320 is about 13993.1526111881. The cubic root of 195808320 is about 580.6891530827.

The spelling of 195808320 in words is "one hundred ninety-five million, eight hundred eight thousand, three hundred twenty".