8484840 has 288 divisors, whose sum is σ = 35479080. Its totient is φ = 1741824.

The previous prime is 8484829. The next prime is 8484851. The reversal of 8484840 is 484848.

8484840 = T₁₃₁ + T₁₃₂ + ... + T₃₇₅.

8484840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8484829) and next prime (8484851).

It can be written as a sum of positive squares in 4 ways, for example, as 7001316 + 1483524 = 2646^2 + 1218^2 .

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 = 8484795 and 8484804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229302 + ... + 229338.

Almost surely, 2^8484840 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 8484840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739540).

8484840 is an abundant number, since it is smaller than the sum of its proper divisors (26994240).

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

8484840 is a wasteful number, since it uses less digits than its factorization.

8484840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8484840 is about 2912.8748685791. The cubic root of 8484840 is about 203.9613536942.

The spelling of 8484840 in words is "eight million, four hundred eighty-four thousand, eight hundred forty".