8216352 has 72 divisors (see below), whose sum is σ = 23901696. Its totient is φ = 2676096.

The previous prime is 8216347. The next prime is 8216353. The reversal of 8216352 is 2536128.

8216352 is a `hidden beast` number, since 8 + 21 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (8216353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13233 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (331968).

Almost surely, 2^8216352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950848).

8216352 is an abundant number, since it is smaller than the sum of its proper divisors (15685344).

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

8216352 is a wasteful number, since it uses less digits than its factorization.

8216352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 8216352 is about 2866.4179737086. The cubic root of 8216352 is about 201.7869203632.

It can be divided in two parts, 82163 and 52, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 8216352 in words is "eight million, two hundred sixteen thousand, three hundred fifty-two".