12623616 has 54 divisors (see below), whose sum is σ = 36403640. Its totient is φ = 4207104.

The previous prime is 12623609. The next prime is 12623621. The reversal of 12623616 is 61632621.

12623616 is a `hidden beast` number, since 1 + 26 + 23 + 616 = 666.

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 12623616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 436 + ... + 5043.

Almost surely, 2^12623616 is an apocalyptic number.

12623616 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 12623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201820).

12623616 is an abundant number, since it is smaller than the sum of its proper divisors (23780024).

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

12623616 is an equidigital number, since it uses as much as digits as its factorization.

12623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5484 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12623616 is about 3552.9728397498. The cubic root of 12623616 is about 232.8419664309.

The spelling of 12623616 in words is "twelve million, six hundred twenty-three thousand, six hundred sixteen".