96636800 has 192 divisors, whose sum is σ = 270920160. Its totient is φ = 33792000.

The previous prime is 96636791. The next prime is 96636803. The reversal of 96636800 is 863669.

It is a happy number.

It is a super-2 number, since 2×96636800² = 18677342228480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96636803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956750 + ... + 956850.

Almost surely, 2^96636800 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 96636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135460080).

96636800 is an abundant number, since it is smaller than the sum of its proper divisors (174283360).

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

96636800 is a wasteful number, since it uses less digits than its factorization.

96636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 96636800 is about 9830.4018229165. The cubic root of 96636800 is about 458.8959027782.

The spelling of 96636800 in words is "ninety-six million, six hundred thirty-six thousand, eight hundred".