8249216 has 48 divisors (see below), whose sum is σ = 17535840. Its totient is φ = 3864576.

The previous prime is 8249207. The next prime is 8249303. The reversal of 8249216 is 6129428.

It is a super-2 number, since 2×8249216² = 136099129229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36881 + ... + 37103.

It is an arithmetic number, because the mean of its divisors is an integer number (365330).

Almost surely, 2^8249216 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 8249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767920).

8249216 is an abundant number, since it is smaller than the sum of its proper divisors (9286624).

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

8249216 is a wasteful number, since it uses less digits than its factorization.

8249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 242 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 8249216 is about 2872.1448431442. The cubic root of 8249216 is about 202.0556001573.

The spelling of 8249216 in words is "eight million, two hundred forty-nine thousand, two hundred sixteen".