8686440 has 160 divisors (see below), whose sum is σ = 33454080. Its totient is φ = 1980288.

The previous prime is 8686421. The next prime is 8686459. The reversal of 8686440 is 446868.

8686440 is a `hidden beast` number, since 8 + 6 + 8 + 644 + 0 = 666.

8686440 is digitally balanced in base 5, because in such base 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 (8686421) and next prime (8686459).

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 = 8686395 and 8686404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22489 + ... + 22871.

It is an arithmetic number, because the mean of its divisors is an integer number (209088).

Almost surely, 2^8686440 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 8686440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727040).

8686440 is an abundant number, since it is smaller than the sum of its proper divisors (24767640).

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

8686440 is a wasteful number, since it uses less digits than its factorization.

8686440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8686440 is about 2947.2767090994. The cubic root of 8686440 is about 205.5641016927.

The spelling of 8686440 in words is "eight million, six hundred eighty-six thousand, four hundred forty".