996305040 has 60 divisors (see below), whose sum is σ = 3345926844. Its totient is φ = 265681152.

The previous prime is 996305003. The next prime is 996305081. The reversal of 996305040 is 40503699.

996305040 is a `hidden beast` number, since 99 + 63 + 0 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 566820864 + 429484176 = 23808^2 + 20724^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 996304986 and 996305004.

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 11 ways as a sum of consecutive naturals, for example, 691159 + ... + 692598.

Almost surely, 2^996305040 is an apocalyptic number.

996305040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

996305040 is an abundant number, since it is smaller than the sum of its proper divisors (2349621804).

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

996305040 is a wasteful number, since it uses less digits than its factorization.

996305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383776 (or 1383767 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 996305040 is about 31564.3000872822. The cubic root of 996305040 is about 998.7668265751.

The spelling of 996305040 in words is "nine hundred ninety-six million, three hundred five thousand, forty".