9886400 has 84 divisors (see below), whose sum is σ = 25133808. Its totient is φ = 3824640.

The previous prime is 9886399. The next prime is 9886411. The reversal of 9886400 is 46889.

9886400 = T₆ + T₇ + ... + T₃₈₉.

It is a nialpdrome in base 10.

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 11 ways as a sum of consecutive naturals, for example, 59117 + ... + 59283.

It is an arithmetic number, because the mean of its divisors is an integer number (299212).

Almost surely, 2^9886400 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 9886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566904).

9886400 is an abundant number, since it is smaller than the sum of its proper divisors (15247408).

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

9886400 is a wasteful number, since it uses less digits than its factorization.

9886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 9886400 is about 3144.2646199072. The cubic root of 9886400 is about 214.6245475449.

The spelling of 9886400 in words is "nine million, eight hundred eighty-six thousand, four hundred".