9890400 has 144 divisors (see below), whose sum is σ = 34779024. Its totient is φ = 2426880.

The previous prime is 9890381. The next prime is 9890407. The reversal of 9890400 is 40989.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9890407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31042 + ... + 31358.

It is an arithmetic number, because the mean of its divisors is an integer number (241521).

Almost surely, 2^9890400 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 9890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17389512).

9890400 is an abundant number, since it is smaller than the sum of its proper divisors (24888624).

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

9890400 is a wasteful number, since it uses less digits than its factorization.

9890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9890400 is about 3144.9006343603. The cubic root of 9890400 is about 214.6534890685.

The spelling of 9890400 in words is "nine million, eight hundred ninety thousand, four hundred".