995289600 has 120 divisors (see below), whose sum is σ = 3288003840. Its totient is φ = 265400320.

The previous prime is 995289577. The next prime is 995289601. The reversal of 995289600 is 6982599.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 995289600.

It is not an unprimeable number, because it can be changed into a prime (995289601) 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 11 ways as a sum of consecutive naturals, for example, 25441 + ... + 51359.

It is an arithmetic number, because the mean of its divisors is an integer number (27400032).

Almost surely, 2^995289600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644001920).

995289600 is an abundant number, since it is smaller than the sum of its proper divisors (2292714240).

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

995289600 is a wasteful number, since it uses less digits than its factorization.

995289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25950 (or 25929 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 995289600 is about 31548.2107258082. The cubic root of 995289600 is about 998.4273948762.

The spelling of 995289600 in words is "nine hundred ninety-five million, two hundred eighty-nine thousand, six hundred".