996479820 has 288 divisors, whose sum is σ = 3795337728. Its totient is φ = 214244352.

The previous prime is 996479801. The next prime is 996479821. The reversal of 996479820 is 28974699.

996479820 is a `hidden beast` number, since 9 + 96 + 479 + 82 + 0 = 666.

996479820 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 (54).

It is not an unprimeable number, because it can be changed into a prime (996479821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577479 + ... + 579201.

It is an arithmetic number, because the mean of its divisors is an integer number (13178256).

Almost surely, 2^996479820 is an apocalyptic number.

996479820 is a gapful number since it is divisible by the number (90) 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 996479820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897668864).

996479820 is an abundant number, since it is smaller than the sum of its proper divisors (2798857908).

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

996479820 is a wasteful number, since it uses less digits than its factorization.

996479820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 996479820 is about 31567.0686000458. The cubic root of 996479820 is about 998.8252271158.

The spelling of 996479820 in words is "nine hundred ninety-six million, four hundred seventy-nine thousand, eight hundred twenty".