12623688 has 240 divisors, whose sum is σ = 46347840. Its totient is φ = 3136320.

The previous prime is 12623669. The next prime is 12623713. The reversal of 12623688 is 88632621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 548845 + ... + 548867.

It is an arithmetic number, because the mean of its divisors is an integer number (193116).

Almost surely, 2^12623688 is an apocalyptic number.

12623688 is a gapful number since it is divisible by the number (18) 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 12623688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173920).

12623688 is an abundant number, since it is smaller than the sum of its proper divisors (33724152).

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

12623688 is a wasteful number, since it uses less digits than its factorization.

12623688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12623688 is about 3552.9829720954. The cubic root of 12623688 is about 232.8424091088.

It can be divided in two parts, 1262 and 3688, that added together give a triangular number (4950 = T₉₉).

The spelling of 12623688 in words is "twelve million, six hundred twenty-three thousand, six hundred eighty-eight".