195982080 has 288 divisors, whose sum is σ = 748790784. Its totient is φ = 42713088.

The previous prime is 195982079. The next prime is 195982097. The reversal of 195982080 is 80289591.

It is a happy number.

It is a super-2 number, since 2×195982080² = 76817951362252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 618082 + ... + 618398.

It is an arithmetic number, because the mean of its divisors is an integer number (2599968).

Almost surely, 2^195982080 is an apocalyptic number.

195982080 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 195982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374395392).

195982080 is an abundant number, since it is smaller than the sum of its proper divisors (552808704).

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

195982080 is a wasteful number, since it uses less digits than its factorization.

195982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 195982080 is about 13999.3599853708. The cubic root of 195982080 is about 580.8608698508.

The spelling of 195982080 in words is "one hundred ninety-five million, nine hundred eighty-two thousand, eighty".