8008416 has 192 divisors, whose sum is σ = 27095040. Its totient is φ = 2280960.

The previous prime is 8008409. The next prime is 8008453. The reversal of 8008416 is 6148008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8008416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258321 + ... + 258351.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 2^8008416 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 8008416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

8008416 is an abundant number, since it is smaller than the sum of its proper divisors (19086624).

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

8008416 is a wasteful number, since it uses less digits than its factorization.

8008416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8008416 is about 2829.9144863405. The cubic root of 8008416 is about 200.0701087543.

It can be divided in two parts, 800 and 8416, that added together give a square (9216 = 96²).

The spelling of 8008416 in words is "eight million, eight thousand, four hundred sixteen".