96682800 has 240 divisors, whose sum is σ = 336549888. Its totient is φ = 23654400.

The previous prime is 96682787. The next prime is 96682801. The reversal of 96682800 is 828669.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (96682801) 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 47 ways as a sum of consecutive naturals, for example, 855544 + ... + 855656.

Almost surely, 2^96682800 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 96682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168274944).

96682800 is an abundant number, since it is smaller than the sum of its proper divisors (239867088).

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

96682800 is a wasteful number, since it uses less digits than its factorization.

96682800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 96682800 is about 9832.7412251111. The cubic root of 96682800 is about 458.9687041093.

The spelling of 96682800 in words is "ninety-six million, six hundred eighty-two thousand, eight hundred".