8905680 has 320 divisors, whose sum is σ = 38092800. Its totient is φ = 1866240.

The previous prime is 8905679. The next prime is 8905681. The reversal of 8905680 is 865098.

8905680 is a `hidden beast` number, since 8 + 90 + 568 + 0 = 666.

8905680 is digitally balanced in base 2, 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 (8905679) and next prime (8905681).

It is a super-2 number, since 2×8905680² = 158622272524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8905681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287265 + ... + 287295.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 2^8905680 is an apocalyptic number.

8905680 is a gapful number since it is divisible by the number (80) 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 8905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046400).

8905680 is an abundant number, since it is smaller than the sum of its proper divisors (29187120).

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

8905680 is a wasteful number, since it uses less digits than its factorization.

8905680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8905680 is about 2984.2385963592. The cubic root of 8905680 is about 207.2791864016.

The spelling of 8905680 in words is "eight million, nine hundred five thousand, six hundred eighty".