996802560 has 324 divisors, whose sum is σ = 3741829182. Its totient is φ = 245366784.

The previous prime is 996802549. The next prime is 996802571. The reversal of 996802560 is 65208699.

996802560 is a `hidden beast` number, since 9 + 9 + 6 + 80 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (996802549) and next prime (996802571).

It can be written as a sum of positive squares in 3 ways, for example, as 429981696 + 566820864 = 20736^2 + 23808^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76677114 + ... + 76677126.

Almost surely, 2^996802560 is an apocalyptic number.

996802560 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 996802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870914591).

996802560 is an abundant number, since it is smaller than the sum of its proper divisors (2745026622).

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

996802560 is an equidigital number, since it uses as much as digits as its factorization.

996802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 996802560 is about 31572.1801591211. The cubic root of 996802560 is about 998.9330486864.

The spelling of 996802560 in words is "nine hundred ninety-six million, eight hundred two thousand, five hundred sixty".