8242416 has 240 divisors, whose sum is σ = 30873024. Its totient is φ = 1990656.

The previous prime is 8242411. The next prime is 8242439. The reversal of 8242416 is 6142428.

8242416 is a `hidden beast` number, since 8 + 242 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8242416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8242411) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 222750 + ... + 222786.

Almost surely, 2^8242416 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 8242416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

8242416 is an abundant number, since it is smaller than the sum of its proper divisors (22630608).

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

8242416 is a wasteful number, since it uses less digits than its factorization.

8242416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 8242416 is about 2870.9608147796. The cubic root of 8242416 is about 202.0000653530. Note that the first 4 decimals are identical.

It can be divided in two parts, 824 and 2416, that added together give a triangular number (3240 = T₈₀).

The spelling of 8242416 in words is "eight million, two hundred forty-two thousand, four hundred sixteen".