8378216 has 96 divisors (see below), whose sum is σ = 20930400. Its totient is φ = 3104640.

The previous prime is 8378203. The next prime is 8378219. The reversal of 8378216 is 6128738.

8378216 = 98³ + 99³ + ... + 105³.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8378219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125015 + ... + 125081.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 2^8378216 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 8378216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465200).

8378216 is an abundant number, since it is smaller than the sum of its proper divisors (12552184).

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

8378216 is a wasteful number, since it uses less digits than its factorization.

8378216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 8378216 is about 2894.5148125377. The cubic root of 8378216 is about 203.1033956036.

The spelling of 8378216 in words is "eight million, three hundred seventy-eight thousand, two hundred sixteen".