195982920 has 192 divisors, whose sum is σ = 737493120. Its totient is φ = 44209152.

The previous prime is 195982907. The next prime is 195982939. The reversal of 195982920 is 29289591.

195982920 = T₁₁₉ + T₁₂₀ + ... + T₁₀₅₅.

195982920 is a `hidden beast` number, since 19 + 598 + 29 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208692 + ... + 209628.

It is an arithmetic number, because the mean of its divisors is an integer number (3841110).

Almost surely, 2^195982920 is an apocalyptic number.

195982920 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 195982920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368746560).

195982920 is an abundant number, since it is smaller than the sum of its proper divisors (541510200).

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

195982920 is a wasteful number, since it uses less digits than its factorization.

195982920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 195982920 is about 13999.3899867101. The cubic root of 195982920 is about 580.8616997267.

The spelling of 195982920 in words is "one hundred ninety-five million, nine hundred eighty-two thousand, nine hundred twenty".