995577960 has 128 divisors (see below), whose sum is σ = 3385872000. Its totient is φ = 232160256.

The previous prime is 995577959. The next prime is 995577967. The reversal of 995577960 is 69775599.

995577960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 995577960.

It is not an unprimeable number, because it can be changed into a prime (995577967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12846 + ... + 46434.

It is an arithmetic number, because the mean of its divisors is an integer number (26452125).

Almost surely, 2^995577960 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 995577960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692936000).

995577960 is an abundant number, since it is smaller than the sum of its proper divisors (2390294040).

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

995577960 is a wasteful number, since it uses less digits than its factorization.

995577960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33635 (or 33631 counting only the distinct ones).

The product of its (nonzero) digits is 5358150, while the sum is 57.

The square root of 995577960 is about 31552.7805430837. The cubic root of 995577960 is about 998.5238085979.

The spelling of 995577960 in words is "nine hundred ninety-five million, five hundred seventy-seven thousand, nine hundred sixty".