12482064 has 180 divisors, whose sum is σ = 42726060. Its totient is φ = 3386880.

The previous prime is 12482059. The next prime is 12482111. The reversal of 12482064 is 46028421.

12482064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 9659664 = 1680^2 + 3108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204594 + ... + 204654.

It is an arithmetic number, because the mean of its divisors is an integer number (237367).

Almost surely, 2^12482064 is an apocalyptic number.

12482064 is a gapful number since it is divisible by the number (14) 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 12482064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363030).

12482064 is an abundant number, since it is smaller than the sum of its proper divisors (30243996).

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

12482064 is a wasteful number, since it uses less digits than its factorization.

12482064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12482064 is about 3532.9964619286. The cubic root of 12482064 is about 231.9683864970.

The spelling of 12482064 in words is "twelve million, four hundred eighty-two thousand, sixty-four".