8680056 has 144 divisors (see below), whose sum is σ = 28201320. Its totient is φ = 2217600.

The previous prime is 8680043. The next prime is 8680073. The reversal of 8680056 is 6500868.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8679999 and 8680026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142266 + ... + 142326.

Almost surely, 2^8680056 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 8680056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100660).

8680056 is an abundant number, since it is smaller than the sum of its proper divisors (19521264).

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

8680056 is a wasteful number, since it uses less digits than its factorization.

8680056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8680056 is about 2946.1934763352. The cubic root of 8680056 is about 205.5137303534.

The spelling of 8680056 in words is "eight million, six hundred eighty thousand, fifty-six".