195514960 has 80 divisors (see below), whose sum is σ = 484160976. Its totient is φ = 73170944.

The previous prime is 195514903. The next prime is 195514981. The reversal of 195514960 is 69415591.

195514960 = 226² + 227² + ... + 842².

It can be written as a sum of positive squares in 8 ways, for example, as 28174864 + 167340096 = 5308^2 + 12936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 316572 + ... + 317188.

Almost surely, 2^195514960 is an apocalyptic number.

195514960 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 195514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242080488).

195514960 is an abundant number, since it is smaller than the sum of its proper divisors (288646016).

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

195514960 is a wasteful number, since it uses less digits than its factorization.

195514960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 40.

The square root of 195514960 is about 13982.6664123836. Note that the first 3 decimals coincide. The cubic root of 195514960 is about 580.3990119997.

The spelling of 195514960 in words is "one hundred ninety-five million, five hundred fourteen thousand, nine hundred sixty".