995665440 has 576 divisors, whose sum is σ = 4118446080. Its totient is φ = 197683200.

The previous prime is 995665397. The next prime is 995665453. The reversal of 995665440 is 44566599.

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 995665440.

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 95 ways as a sum of consecutive naturals, for example, 12603321 + ... + 12603399.

It is an arithmetic number, because the mean of its divisors is an integer number (7150080).

Almost surely, 2^995665440 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 995665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059223040).

995665440 is an abundant number, since it is smaller than the sum of its proper divisors (3122780640).

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

995665440 is a wasteful number, since it uses less digits than its factorization.

995665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 995665440 is about 31554.1667613011. The cubic root of 995665440 is about 998.5530540238.

It can be divided in two parts, 995 and 665440, that added together give a triangular number (666435 = T₁₁₅₄).

The spelling of 995665440 in words is "nine hundred ninety-five million, six hundred sixty-five thousand, four hundred forty".