8320000 has 110 divisors (see below), whose sum is σ = 22381898. Its totient is φ = 3072000.

The previous prime is 8319977. The next prime is 8320001. The reversal of 8320000 is 238.

It can be written as a sum of positive squares in 5 ways, for example, as 4875264 + 3444736 = 2208^2 + 1856^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639994 + ... + 640006.

Almost surely, 2^8320000 is an apocalyptic number.

8320000 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 8320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190949).

8320000 is an abundant number, since it is smaller than the sum of its proper divisors (14061898).

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

8320000 is an equidigital number, since it uses as much as digits as its factorization.

8320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 8320000 is about 2884.4410203712. The cubic root of 8320000 is about 202.6318807640.

Multiplying 8320000 by its sum of digits (13), we get a square (108160000 = 10400²).

8320000 divided by its sum of digits (13) gives a square (640000 = 800²).

Adding to 8320000 its reverse (238), we get a palindrome (8320238).

It can be divided in two parts, 8 and 320000, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 8320000 in words is "eight million, three hundred twenty thousand".