12546816 has 108 divisors (see below), whose sum is σ = 36534456. Its totient is φ = 3809280.

The previous prime is 12546773. The next prime is 12546827. The reversal of 12546816 is 61864521.

12546816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12546816³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404721 + ... + 404751.

It is an arithmetic number, because the mean of its divisors is an integer number (338282).

Almost surely, 2^12546816 is an apocalyptic number.

12546816 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 12546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18267228).

12546816 is an abundant number, since it is smaller than the sum of its proper divisors (23987640).

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

12546816 is an equidigital number, since it uses as much as digits as its factorization.

12546816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 12546816 is about 3542.1485005573. The cubic root of 12546816 is about 232.3688148833.

The spelling of 12546816 in words is "twelve million, five hundred forty-six thousand, eight hundred sixteen".