996086400 has 384 divisors, whose sum is σ = 3561676800. Its totient is φ = 243855360.

The previous prime is 996086347. The next prime is 996086411. The reversal of 996086400 is 4680699.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7843137 + ... + 7843263.

It is an arithmetic number, because the mean of its divisors is an integer number (9275200).

Almost surely, 2^996086400 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 996086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780838400).

996086400 is an abundant number, since it is smaller than the sum of its proper divisors (2565590400).

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

996086400 is a wasteful number, since it uses less digits than its factorization.

996086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 996086400 is about 31560.8364908156. The cubic root of 996086400 is about 998.6937611497.

The spelling of 996086400 in words is "nine hundred ninety-six million, eighty-six thousand, four hundred".