9882400 has 72 divisors (see below), whose sum is σ = 26342064. Its totient is φ = 3590400.

The previous prime is 9882391. The next prime is 9882403. The reversal of 9882400 is 42889.

It is not an unprimeable number, because it can be changed into a prime (9882403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8239 + ... + 9361.

It is an arithmetic number, because the mean of its divisors is an integer number (365862).

Almost surely, 2^9882400 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 9882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171032).

9882400 is an abundant number, since it is smaller than the sum of its proper divisors (16459664).

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

9882400 is a wasteful number, since it uses less digits than its factorization.

9882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 9882400 is about 3143.6284767765. The cubic root of 9882400 is about 214.5955982139.

The spelling of 9882400 in words is "nine million, eight hundred eighty-two thousand, four hundred".