9874144 has 48 divisors (see below), whose sum is σ = 23532768. Its totient is φ = 3981312.

The previous prime is 9874141. The next prime is 9874147. The reversal of 9874144 is 4414789.

9874144 = 227² + 228² + ... + 345².

It is an interprime number because it is at equal distance from previous prime (9874141) and next prime (9874147).

It is a super-3 number, since 3×9874144³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9874141) 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 7 ways as a sum of consecutive naturals, for example, 2512 + ... + 5104.

It is an arithmetic number, because the mean of its divisors is an integer number (490266).

Almost surely, 2^9874144 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 9874144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766384).

9874144 is an abundant number, since it is smaller than the sum of its proper divisors (13658624).

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

9874144 is a wasteful number, since it uses less digits than its factorization.

9874144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2619 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 9874144 is about 3142.3150701354. The cubic root of 9874144 is about 214.5358220846.

The spelling of 9874144 in words is "nine million, eight hundred seventy-four thousand, one hundred forty-four".