8216480 has 48 divisors (see below), whose sum is σ = 19663560. Its totient is φ = 3244032.

The previous prime is 8216477. The next prime is 8216489. The reversal of 8216480 is 846128.

It can be written as a sum of positive squares in 4 ways, for example, as 7595536 + 620944 = 2756^2 + 788^2 .

It is not an unprimeable number, because it can be changed into a prime (8216489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13952 + ... + 14528.

Almost surely, 2^8216480 is an apocalyptic number.

8216480 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 8216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9831780).

8216480 is an abundant number, since it is smaller than the sum of its proper divisors (11447080).

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

8216480 is a wasteful number, since it uses less digits than its factorization.

8216480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8216480 is about 2866.4403011401. The cubic root of 8216480 is about 201.7879682164.

The spelling of 8216480 in words is "eight million, two hundred sixteen thousand, four hundred eighty".