996755760 has 640 divisors, whose sum is σ = 4619704320. Its totient is φ = 190771200.

The previous prime is 996755737. The next prime is 996755779. The reversal of 996755760 is 67557699.

996755760 is a `hidden beast` number, since 9 + 9 + 67 + 5 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 996755697 and 996755706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2161930 + ... + 2162390.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2^996755760 is an apocalyptic number.

996755760 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 996755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309852160).

996755760 is an abundant number, since it is smaller than the sum of its proper divisors (3622948560).

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

996755760 is a wasteful number, since it uses less digits than its factorization.

996755760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The square root of 996755760 is about 31571.4389915949. The cubic root of 996755760 is about 998.9174150995.

It can be divided in two parts, 9 and 96755760, that added together give a palindrome (96755769).

The spelling of 996755760 in words is "nine hundred ninety-six million, seven hundred fifty-five thousand, seven hundred sixty".