996480864 has 144 divisors (see below), whose sum is σ = 2943682560. Its totient is φ = 319415040.

The previous prime is 996480841. The next prime is 996480899. The reversal of 996480864 is 468084699.

996480864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×996480864² = 1985948224636372992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 996480864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2133559 + ... + 2134025.

It is an arithmetic number, because the mean of its divisors is an integer number (20442240).

Almost surely, 2^996480864 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 996480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471841280).

996480864 is an abundant number, since it is smaller than the sum of its proper divisors (1947201696).

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

996480864 is a wasteful number, since it uses less digits than its factorization.

996480864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 996480864 is about 31567.0851362618. The cubic root of 996480864 is about 998.8255759347.

The spelling of 996480864 in words is "nine hundred ninety-six million, four hundred eighty thousand, eight hundred sixty-four".