8238416 has 40 divisors (see below), whose sum is σ = 16975104. Its totient is φ = 3864960.

The previous prime is 8238397. The next prime is 8238437. The reversal of 8238416 is 6148328.

8238416 = T₁ + T₂ + ... + T₃₆₆.

8238416 is a nontrivial binomial coefficient, being equal to C(368, 3).

It is a congruent number.

It is an unprimeable number.

It is the 366-th tetrahedral number.

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 7 ways as a sum of consecutive naturals, for example, 22265 + ... + 22631.

Almost surely, 2^8238416 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 8238416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487552).

8238416 is an abundant number, since it is smaller than the sum of its proper divisors (8736688).

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

8238416 is a wasteful number, since it uses less digits than its factorization.

8238416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 8238416 is about 2870.2640993470. The cubic root of 8238416 is about 201.9673835519.

The spelling of 8238416 in words is "eight million, two hundred thirty-eight thousand, four hundred sixteen".