996831360 has 640 divisors, whose sum is σ = 4229850240. Its totient is φ = 218972160.

The previous prime is 996831359. The next prime is 996831389. The reversal of 996831360 is 63138699.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14878047 + ... + 14878113.

It is an arithmetic number, because the mean of its divisors is an integer number (6609141).

Almost surely, 2^996831360 is an apocalyptic number.

996831360 is a gapful number since it is divisible by the number (90) 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 996831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114925120).

996831360 is an abundant number, since it is smaller than the sum of its proper divisors (3233018880).

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

996831360 is a wasteful number, since it uses less digits than its factorization.

996831360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 996831360 is about 31572.6362535662. The cubic root of 996831360 is about 998.9426691121.

It can be divided in two parts, 9968 and 31360, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 996831360 in words is "nine hundred ninety-six million, eight hundred thirty-one thousand, three hundred sixty".