8277216 has 48 divisors (see below), whose sum is σ = 21909888. Its totient is φ = 2736000.

The previous prime is 8277211. The next prime is 8277221. The reversal of 8277216 is 6127728.

It is an interprime number because it is at equal distance from previous prime (8277211) and next prime (8277221).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8277211) 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, 14211 + ... + 14781.

It is an arithmetic number, because the mean of its divisors is an integer number (456456).

Almost surely, 2^8277216 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 8277216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10954944).

8277216 is an abundant number, since it is smaller than the sum of its proper divisors (13632672).

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

8277216 is a wasteful number, since it uses less digits than its factorization.

8277216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 8277216 is about 2877.0151198768. The cubic root of 8277216 is about 202.2839518686.

The spelling of 8277216 in words is "eight million, two hundred seventy-seven thousand, two hundred sixteen".