8726820 has 48 divisors (see below), whose sum is σ = 25101888. Its totient is φ = 2263680.

The previous prime is 8726803. The next prime is 8726849. The reversal of 8726820 is 286278.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255 + ... + 4185.

It is an arithmetic number, because the mean of its divisors is an integer number (522956).

Almost surely, 2^8726820 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 8726820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550944).

8726820 is an abundant number, since it is smaller than the sum of its proper divisors (16375068).

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

8726820 is a wasteful number, since it uses less digits than its factorization.

8726820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8726820 is about 2954.1191580571. The cubic root of 8726820 is about 205.8821395116.

The spelling of 8726820 in words is "eight million, seven hundred twenty-six thousand, eight hundred twenty".