9876240 has 240 divisors, whose sum is σ = 38301120. Its totient is φ = 2257920.

The previous prime is 9876161. The next prime is 9876271. The reversal of 9876240 is 426789.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9876195 and 9876204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229659 + ... + 229701.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 2^9876240 is an apocalyptic number.

9876240 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 9876240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

9876240 is an abundant number, since it is smaller than the sum of its proper divisors (28424880).

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

9876240 is a wasteful number, since it uses less digits than its factorization.

9876240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9876240 is about 3142.6485645073. The cubic root of 9876240 is about 214.5510009622.

It can be divided in two parts, 987 and 6240, that added together give a palindrome (7227).

The spelling of 9876240 in words is "nine million, eight hundred seventy-six thousand, two hundred forty".