8268416 has 32 divisors (see below), whose sum is σ = 17742900. Its totient is φ = 3815424.

The previous prime is 8268397. The next prime is 8268419. The reversal of 8268416 is 6148628.

It can be written as a sum of positive squares in 2 ways, for example, as 7268416 + 1000000 = 2696^2 + 1000^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (8268419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 821 + ... + 4148.

Almost surely, 2^8268416 is an apocalyptic number.

It is an amenable number.

8268416 is an abundant number, since it is smaller than the sum of its proper divisors (9474484).

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

8268416 is a wasteful number, since it uses less digits than its factorization.

8268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4984 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 8268416 is about 2875.4853503365. The cubic root of 8268416 is about 202.2122397538.

The spelling of 8268416 in words is "eight million, two hundred sixty-eight thousand, four hundred sixteen".