195037920 has 288 divisors, whose sum is σ = 830269440. Its totient is φ = 40504320.

The previous prime is 195037919. The next prime is 195037937. The reversal of 195037920 is 29730591.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 110001 + ... + 111759.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^195037920 is an apocalyptic number.

195037920 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 195037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

195037920 is an abundant number, since it is smaller than the sum of its proper divisors (635231520).

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

195037920 is a wasteful number, since it uses less digits than its factorization.

195037920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 195037920 is about 13965.5977315688. The cubic root of 195037920 is about 579.9265860310.

The spelling of 195037920 in words is "one hundred ninety-five million, thirty-seven thousand, nine hundred twenty".