996541056 has 384 divisors, whose sum is σ = 3564288000. Its totient is φ = 270978048.

The previous prime is 996541027. The next prime is 996541057. The reversal of 996541056 is 650145699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996541057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5007645 + ... + 5007843.

It is an arithmetic number, because the mean of its divisors is an integer number (9282000).

Almost surely, 2^996541056 is an apocalyptic number.

996541056 is a gapful number since it is divisible by the number (96) 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 996541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782144000).

996541056 is an abundant number, since it is smaller than the sum of its proper divisors (2567746944).

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

996541056 is a wasteful number, since it uses less digits than its factorization.

996541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 996541056 is about 31568.0385199968. The cubic root of 996541056 is about 998.8456867402.

The spelling of 996541056 in words is "nine hundred ninety-six million, five hundred forty-one thousand, fifty-six".