996166080 has 672 divisors, whose sum is σ = 4426793280. Its totient is φ = 209018880.

The previous prime is 996166057. The next prime is 996166109. The reversal of 996166080 is 80661699.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5503590 + ... + 5503770.

It is an arithmetic number, because the mean of its divisors is an integer number (6587490).

Almost surely, 2^996166080 is an apocalyptic number.

996166080 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 996166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213396640).

996166080 is an abundant number, since it is smaller than the sum of its proper divisors (3430627200).

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

996166080 is a wasteful number, since it uses less digits than its factorization.

996166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 996166080 is about 31562.0987895292. The cubic root of 996166080 is about 998.7203899632.

The spelling of 996166080 in words is "nine hundred ninety-six million, one hundred sixty-six thousand, eighty".