96882400 has 72 divisors (see below), whose sum is σ = 237875400. Its totient is φ = 38530560.

The previous prime is 96882389. The next prime is 96882403. The reversal of 96882400 is 428869.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 96882400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96882403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277426 + ... + 277774.

It is an arithmetic number, because the mean of its divisors is an integer number (3303825).

Almost surely, 2^96882400 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 96882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118937700).

96882400 is an abundant number, since it is smaller than the sum of its proper divisors (140993000).

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

96882400 is a wasteful number, since it uses less digits than its factorization.

96882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 96882400 is about 9842.8857557121. The cubic root of 96882400 is about 459.2843313736.

The spelling of 96882400 in words is "ninety-six million, eight hundred eighty-two thousand, four hundred".