9938240 has 56 divisors (see below), whose sum is σ = 25496520. Its totient is φ = 3667968.

The previous prime is 9938239. The next prime is 9938249. The reversal of 9938240 is 428399.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 9935104 = 56^2 + 3152^2 .

It is a super-2 number, since 2×9938240² = 197537228595200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9938240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9938249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2966 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (455295).

Almost surely, 2^9938240 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 9938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12748260).

9938240 is an abundant number, since it is smaller than the sum of its proper divisors (15558280).

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

9938240 is a wasteful number, since it uses less digits than its factorization.

9938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 9938240 is about 3152.4974226794. The cubic root of 9938240 is about 214.9990264964. Note that the first 3 decimals are identical.

The spelling of 9938240 in words is "nine million, nine hundred thirty-eight thousand, two hundred forty".