996518880 has 432 divisors, whose sum is σ = 4100634720. Its totient is φ = 219469824.

The previous prime is 996518837. The next prime is 996518881. The reversal of 996518880 is 88815699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996518881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2045997 + ... + 2046483.

It is an arithmetic number, because the mean of its divisors is an integer number (9492210).

Almost surely, 2^996518880 is an apocalyptic number.

996518880 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 996518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050317360).

996518880 is an abundant number, since it is smaller than the sum of its proper divisors (3104115840).

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

996518880 is a wasteful number, since it uses less digits than its factorization.

996518880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 996518880 is about 31567.6872767075. The cubic root of 996518880 is about 998.8382775903.

The spelling of 996518880 in words is "nine hundred ninety-six million, five hundred eighteen thousand, eight hundred eighty".