8286720 has 160 divisors (see below), whose sum is σ = 28873152. Its totient is φ = 2015232.

The previous prime is 8286713. The next prime is 8286731. The reversal of 8286720 is 276828.

It is a tau number, because it is divible by the number of its divisors (160).

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, 99799 + ... + 99881.

Almost surely, 2^8286720 is an apocalyptic number.

8286720 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 8286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576).

8286720 is an abundant number, since it is smaller than the sum of its proper divisors (20586432).

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

8286720 is a wasteful number, since it uses less digits than its factorization.

8286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

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

The square root of 8286720 is about 2878.6663578817. Note that the first 3 decimals coincide. The cubic root of 8286720 is about 202.3613438859.

The spelling of 8286720 in words is "eight million, two hundred eighty-six thousand, seven hundred twenty".