9842400 has 108 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 2622720.

The previous prime is 9842383. The next prime is 9842467. The reversal of 9842400 is 42489.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 6517 + ... + 7883.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^9842400 is an apocalyptic number.

9842400 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 9842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

9842400 is an abundant number, since it is smaller than the sum of its proper divisors (24889752).

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

9842400 is a wasteful number, since it uses less digits than its factorization.

9842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9842400 is about 3137.2599509763. The cubic root of 9842400 is about 214.3056743312.

Adding to 9842400 its reverse (42489), we get a palindrome (9884889).

The spelling of 9842400 in words is "nine million, eight hundred forty-two thousand, four hundred".