2163616 has 48 divisors (see below), whose sum is σ = 5249664. Its totient is φ = 854784.

The previous prime is 2163613. The next prime is 2163653. The reversal of 2163616 is 6163612.

It is a super-4 number, since 4×2163616⁴ (a number of 26 digits) contains 4444 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163613) 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, 2541 + ... + 3283.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

2^2163616 is an apocalyptic number.

2163616 is a gapful number since it is divisible by the number (26) 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 2163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832).

2163616 is an abundant number, since it is smaller than the sum of its proper divisors (3086048).

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

2163616 is a wasteful number, since it uses less digits than its factorization.

2163616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 2163616 is about 1470.9235194258. The cubic root of 2163616 is about 129.3381748521.

The spelling of 2163616 in words is "two million, one hundred sixty-three thousand, six hundred sixteen".