12173616 has 120 divisors (see below), whose sum is σ = 41976480. Its totient is φ = 3207168.

The previous prime is 12173599. The next prime is 12173617. The reversal of 12173616 is 61637121.

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 12173616.

It is not an unprimeable number, because it can be changed into a prime (12173617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12640 + ... + 13568.

It is an arithmetic number, because the mean of its divisors is an integer number (349804).

Almost surely, 2^12173616 is an apocalyptic number.

12173616 is a gapful number since it is divisible by the number (16) 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 12173616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20988240).

12173616 is an abundant number, since it is smaller than the sum of its proper divisors (29802864).

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

12173616 is a wasteful number, since it uses less digits than its factorization.

12173616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 954 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 12173616 is about 3489.0709365102. The cubic root of 12173616 is about 230.0416811668.

It can be divided in two parts, 121 and 73616, that added together give a palindrome (73737).

The spelling of 12173616 in words is "twelve million, one hundred seventy-three thousand, six hundred sixteen".