12893616 has 120 divisors (see below), whose sum is σ = 40042080. Its totient is φ = 3852288.

The previous prime is 12893597. The next prime is 12893627. The reversal of 12893616 is 61639821.

12893616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 56190 + ... + 56418.

It is an arithmetic number, because the mean of its divisors is an integer number (333684).

Almost surely, 2^12893616 is an apocalyptic number.

12893616 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 12893616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021040).

12893616 is an abundant number, since it is smaller than the sum of its proper divisors (27148464).

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

12893616 is a wasteful number, since it uses less digits than its factorization.

12893616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12893616 is about 3590.7681629423. The cubic root of 12893616 is about 234.4903153075.

The spelling of 12893616 in words is "twelve million, eight hundred ninety-three thousand, six hundred sixteen".