8416320 has 112 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 2037760.

The previous prime is 8416313. The next prime is 8416327. The reversal of 8416320 is 236148.

It is a happy number.

8416320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8416313) and next prime (8416327).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8416327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10162 + ... + 10958.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 2^8416320 is an apocalyptic number.

8416320 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 8416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

8416320 is an abundant number, since it is smaller than the sum of its proper divisors (20771328).

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

8416320 is a wasteful number, since it uses less digits than its factorization.

8416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8416320 is about 2901.0894505341. The cubic root of 8416320 is about 203.4108337255.

It can be divided in two parts, 8 and 416320, that added together give a triangular number (416328 = T₉₁₂).

The spelling of 8416320 in words is "eight million, four hundred sixteen thousand, three hundred twenty".