8681220 has 72 divisors (see below), whose sum is σ = 27891864. Its totient is φ = 2178048.

The previous prime is 8681213. The next prime is 8681221. The reversal of 8681220 is 221868.

8681220 = T₂₈₉ + T₂₉₀ + ... + T₄₂₃.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 8433216 = 498^2 + 2904^2 .

It is not an unprimeable number, because it can be changed into a prime (8681221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1642 + ... + 4478.

It is an arithmetic number, because the mean of its divisors is an integer number (387387).

Almost surely, 2^8681220 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 8681220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945932).

8681220 is an abundant number, since it is smaller than the sum of its proper divisors (19210644).

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

8681220 is a wasteful number, since it uses less digits than its factorization.

8681220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8681220 is about 2946.3910127476. The cubic root of 8681220 is about 205.5229164420.

The spelling of 8681220 in words is "eight million, six hundred eighty-one thousand, two hundred twenty".