96996000 has 192 divisors, whose sum is σ = 325503360. Its totient is φ = 25241600.

The previous prime is 96995971. The next prime is 96996001. The reversal of 96996000 is 69969.

It is a self number, because there is not a number n which added to its sum of digits gives 96996000.

It is not an unprimeable number, because it can be changed into a prime (96996001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707932 + ... + 708068.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330).

Almost surely, 2^96996000 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 96996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

96996000 is an abundant number, since it is smaller than the sum of its proper divisors (228507360).

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

96996000 is a wasteful number, since it uses less digits than its factorization.

96996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 96996000 is about 9848.6547304695. The cubic root of 96996000 is about 459.4637733938.

It can be divided in two parts, 969 and 96000, that added together give a palindrome (96969).

The spelling of 96996000 in words is "ninety-six million, nine hundred ninety-six thousand".