996488064 has 384 divisors, whose sum is σ = 3528645120. Its totient is φ = 265605120.

The previous prime is 996488057. The next prime is 996488069. The reversal of 996488064 is 460884699.

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

It is a self number, because there is not a number n which added to its sum of digits gives 996488064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996488069) 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, 3788797 + ... + 3789059.

It is an arithmetic number, because the mean of its divisors is an integer number (9189180).

Almost surely, 2^996488064 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 996488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764322560).

996488064 is an abundant number, since it is smaller than the sum of its proper divisors (2532157056).

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

996488064 is a wasteful number, since it uses less digits than its factorization.

996488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 996488064 is about 31567.1991788945. The cubic root of 996488064 is about 998.8279815761.

It can be divided in two parts, 99 and 6488064, that multiplied together give a square (642318336 = 25344²).

The spelling of 996488064 in words is "nine hundred ninety-six million, four hundred eighty-eight thousand, sixty-four".