195893376 has 192 divisors, whose sum is σ = 627912000. Its totient is φ = 53889024.

The previous prime is 195893333. The next prime is 195893389. The reversal of 195893376 is 673398591.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545485 + ... + 545843.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 2^195893376 is an apocalyptic number.

195893376 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 195893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313956000).

195893376 is an abundant number, since it is smaller than the sum of its proper divisors (432018624).

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

195893376 is a wasteful number, since it uses less digits than its factorization.

195893376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 195893376 is about 13996.1914819711. The cubic root of 195893376 is about 580.7732216023.

The spelling of 195893376 in words is "one hundred ninety-five million, eight hundred ninety-three thousand, three hundred seventy-six".