195513840 has 120 divisors (see below), whose sum is σ = 659243520. Its totient is φ = 51927552.

The previous prime is 195513817. The next prime is 195513841. The reversal of 195513840 is 48315591.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 195513795 and 195513804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195513841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275406 + ... + 276114.

It is an arithmetic number, because the mean of its divisors is an integer number (5493696).

Almost surely, 2^195513840 is an apocalyptic number.

195513840 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 195513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329621760).

195513840 is an abundant number, since it is smaller than the sum of its proper divisors (463729680).

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

195513840 is a wasteful number, since it uses less digits than its factorization.

195513840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 195513840 is about 13982.6263627403. The cubic root of 195513840 is about 580.3979037330.

The spelling of 195513840 in words is "one hundred ninety-five million, five hundred thirteen thousand, eight hundred forty".