8680644 has 144 divisors (see below), whose sum is σ = 27664000. Its totient is φ = 2286144.

The previous prime is 8680631. The next prime is 8680669. The reversal of 8680644 is 4460868.

8680644 = 64³ + 65³ + ... + 84³.

8680644 is a `hidden beast` number, since 8 + 6 + 8 + 0 + 644 = 666.

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 = 8680599 and 8680608.

It is a congruent number.

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, 234594 + ... + 234630.

Almost surely, 2^8680644 is an apocalyptic number.

8680644 is a gapful number since it is divisible by the number (84) 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 8680644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832000).

8680644 is an abundant number, since it is smaller than the sum of its proper divisors (18983356).

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

8680644 is a wasteful number, since it uses less digits than its factorization.

8680644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

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

The square root of 8680644 is about 2946.2932644257. The cubic root of 8680644 is about 205.5183708513.

The spelling of 8680644 in words is "eight million, six hundred eighty thousand, six hundred forty-four".