195361920 has 192 divisors, whose sum is σ = 726780600. Its totient is φ = 48070656.

The previous prime is 195361919. The next prime is 195361927. The reversal of 195361920 is 29163591.

195361920 is a `hidden beast` number, since 19 + 5 + 3 + 619 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120297024 + 75064896 = 10968^2 + 8664^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195361927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73576 + ... + 76184.

Almost surely, 2^195361920 is an apocalyptic number.

195361920 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 195361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363390300).

195361920 is an abundant number, since it is smaller than the sum of its proper divisors (531418680).

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

195361920 is a wasteful number, since it uses less digits than its factorization.

195361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 195361920 is about 13977.1928512130. The cubic root of 195361920 is about 580.2475360364.

The spelling of 195361920 in words is "one hundred ninety-five million, three hundred sixty-one thousand, nine hundred twenty".