12738816 has 144 divisors (see below), whose sum is σ = 40062400. Its totient is φ = 3981312.

The previous prime is 12738811. The next prime is 12738821. The reversal of 12738816 is 61883721.

12738816 = 13³ + 14³ + ... + 84³.

It is an interprime number because it is at equal distance from previous prime (12738811) and next prime (12738821).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (12738811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131280 + ... + 131376.

Almost surely, 2^12738816 is an apocalyptic number.

12738816 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 12738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20031200).

12738816 is an abundant number, since it is smaller than the sum of its proper divisors (27323584).

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

12738816 is an equidigital number, since it uses as much as digits as its factorization.

12738816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12738816 is about 3569.1477974441. The cubic root of 12738816 is about 233.5481088217.

The spelling of 12738816 in words is "twelve million, seven hundred thirty-eight thousand, eight hundred sixteen".