8407616 has 56 divisors (see below), whose sum is σ = 19507200. Its totient is φ = 3593856.

The previous prime is 8407613. The next prime is 8407643. The reversal of 8407616 is 6167048.

8407616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is not an unprimeable number, because it can be changed into a prime (8407613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21761 + ... + 22143.

Almost surely, 2^8407616 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 8407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753600).

8407616 is an abundant number, since it is smaller than the sum of its proper divisors (11099584).

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

8407616 is an equidigital number, since it uses as much as digits as its factorization.

8407616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 8407616 is about 2899.5889363839. The cubic root of 8407616 is about 203.3406883183.

The spelling of 8407616 in words is "eight million, four hundred seven thousand, six hundred sixteen".