996681456 has 80 divisors (see below), whose sum is σ = 2871517600. Its totient is φ = 330988032.

The previous prime is 996681451. The next prime is 996681463. The reversal of 996681456 is 654186699.

It is a happy number.

996681456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996681451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115500 + ... + 123828.

It is an arithmetic number, because the mean of its divisors is an integer number (35893970).

Almost surely, 2^996681456 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 996681456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435758800).

996681456 is an abundant number, since it is smaller than the sum of its proper divisors (1874836144).

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

996681456 is a wasteful number, since it uses less digits than its factorization.

996681456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8611 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 996681456 is about 31570.2622098709. The cubic root of 996681456 is about 998.8925927686.

It can be divided in two parts, 99668 and 1456, that added together give a square (101124 = 318²).

The spelling of 996681456 in words is "nine hundred ninety-six million, six hundred eighty-one thousand, four hundred fifty-six".