996132456 has 192 divisors, whose sum is σ = 3159000000. Its totient is φ = 280350720.

The previous prime is 996132451. The next prime is 996132457. The reversal of 996132456 is 654231699.

996132456 is a `hidden beast` number, since 9 + 9 + 613 + 24 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (996132451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796920 + ... + 798168.

It is an arithmetic number, because the mean of its divisors is an integer number (16453125).

Almost surely, 2^996132456 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 996132456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579500000).

996132456 is an abundant number, since it is smaller than the sum of its proper divisors (2162867544).

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

996132456 is a wasteful number, since it uses less digits than its factorization.

996132456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 996132456 is about 31561.5661208375. The cubic root of 996132456 is about 998.7091530979.

The spelling of 996132456 in words is "nine hundred ninety-six million, one hundred thirty-two thousand, four hundred fifty-six".