8390720 has 56 divisors (see below), whose sum is σ = 21528024. Its totient is φ = 3096576.

The previous prime is 8390717. The next prime is 8390729. The reversal of 8390720 is 270938.

It can be written as a sum of positive squares in 4 ways, for example, as 817216 + 7573504 = 904^2 + 2752^2 .

It is not an unprimeable number, because it can be changed into a prime (8390729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3152 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (384429).

Almost surely, 2^8390720 is an apocalyptic number.

8390720 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 8390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764012).

8390720 is an abundant number, since it is smaller than the sum of its proper divisors (13137304).

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

8390720 is a wasteful number, since it uses less digits than its factorization.

8390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 8390720 is about 2896.6739547281. The cubic root of 8390720 is about 203.2043853808.

The spelling of 8390720 in words is "eight million, three hundred ninety thousand, seven hundred twenty".