96868800 has 378 divisors, whose sum is σ = 406581864. Its totient is φ = 21427200.

The previous prime is 96868763. The next prime is 96868813. The reversal of 96868800 is 886869.

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 (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3124785 + ... + 3124815.

Almost surely, 2^96868800 is an apocalyptic number.

96868800 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 96868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203290932).

96868800 is an abundant number, since it is smaller than the sum of its proper divisors (309713064).

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

96868800 is a wasteful number, since it uses less digits than its factorization.

96868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 96868800 is about 9842.1948771603. The cubic root of 96868800 is about 459.2628394783.

The spelling of 96868800 in words is "ninety-six million, eight hundred sixty-eight thousand, eight hundred".