195968520 has 384 divisors, whose sum is σ = 764225280. Its totient is φ = 43008000.

The previous prime is 195968473. The next prime is 195968551. The reversal of 195968520 is 25869591.

195968520 = T₁₂₁ + T₁₂₂ + ... + T₁₀₅₅.

195968520 is a `hidden beast` number, since 1 + 9 + 596 + 8 + 52 + 0 = 666.

195968520 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2760085 + ... + 2760155.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2^195968520 is an apocalyptic number.

195968520 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 195968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

195968520 is an abundant number, since it is smaller than the sum of its proper divisors (568256760).

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

195968520 is a wasteful number, since it uses less digits than its factorization.

195968520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 195968520 is about 13998.8756691386. The cubic root of 195968520 is about 580.8474729540.

The spelling of 195968520 in words is "one hundred ninety-five million, nine hundred sixty-eight thousand, five hundred twenty".