8682640 has 20 divisors (see below), whose sum is σ = 20187324. Its totient is φ = 3473024.

The previous prime is 8682589. The next prime is 8682659. The reversal of 8682640 is 462868.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 7463824 = 1104^2 + 2732^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 8682596 and 8682605.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54187 + ... + 54346.

Almost surely, 2^8682640 is an apocalyptic number.

8682640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8682640 is an abundant number, since it is smaller than the sum of its proper divisors (11504684).

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

8682640 is a wasteful number, since it uses less digits than its factorization.

8682640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108546 (or 108540 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 8682640 is about 2946.6319756631. The cubic root of 8682640 is about 205.5341217269.

The spelling of 8682640 in words is "eight million, six hundred eighty-two thousand, six hundred forty".