8415616 has 64 divisors (see below), whose sum is σ = 18849600. Its totient is φ = 3709440.

The previous prime is 8415611. The next prime is 8415637. The reversal of 8415616 is 6165148.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8415611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60475 + ... + 60613.

It is an arithmetic number, because the mean of its divisors is an integer number (294525).

Almost surely, 2^8415616 is an apocalyptic number.

8415616 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424800).

8415616 is an abundant number, since it is smaller than the sum of its proper divisors (10433984).

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

8415616 is a wasteful number, since it uses less digits than its factorization.

8415616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 8415616 is about 2900.9681142681. The cubic root of 8415616 is about 203.4051619981.

The spelling of 8415616 in words is "eight million, four hundred fifteen thousand, six hundred sixteen".