9856400 has 60 divisors (see below), whose sum is σ = 24297924. Its totient is φ = 3840000.

The previous prime is 9856391. The next prime is 9856403. The reversal of 9856400 is 46589.

It can be written as a sum of positive squares in 6 ways, for example, as 541696 + 9314704 = 736^2 + 3052^2 .

It is not an unprimeable number, because it can be changed into a prime (9856403) 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, 16100 + ... + 16700.

Almost surely, 2^9856400 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 9856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148962).

9856400 is an abundant number, since it is smaller than the sum of its proper divisors (14441524).

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

9856400 is a wasteful number, since it uses less digits than its factorization.

9856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 9856400 is about 3139.4904045083. The cubic root of 9856400 is about 214.4072368909.

The spelling of 9856400 in words is "nine million, eight hundred fifty-six thousand, four hundred".