996814080 has 144 divisors (see below), whose sum is σ = 3537428160. Its totient is φ = 265807872.

The previous prime is 996814073. The next prime is 996814111. The reversal of 996814080 is 80418699.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20139 + ... + 48981.

Almost surely, 2^996814080 is an apocalyptic number.

996814080 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 996814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768714080).

996814080 is an abundant number, since it is smaller than the sum of its proper divisors (2540614080).

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

996814080 is a wasteful number, since it uses less digits than its factorization.

996814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28873 (or 28853 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 996814080 is about 31572.3625976898. The cubic root of 996814080 is about 998.9368968789.

The spelling of 996814080 in words is "nine hundred ninety-six million, eight hundred fourteen thousand, eighty".