12164256 has 180 divisors, whose sum is σ = 40661082. Its totient is φ = 3545856.

The previous prime is 12164239. The next prime is 12164279. The reversal of 12164256 is 65246121.

12164256 is a `hidden beast` number, since 12 + 1 + 642 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11696400 + 467856 = 3420^2 + 684^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 640215 + ... + 640233.

Almost surely, 2^12164256 is an apocalyptic number.

12164256 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 12164256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20330541).

12164256 is an abundant number, since it is smaller than the sum of its proper divisors (28496826).

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

12164256 is a wasteful number, since it uses less digits than its factorization.

12164256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 37 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12164256 is about 3487.7293472975. The cubic root of 12164256 is about 229.9827082148.

The spelling of 12164256 in words is "twelve million, one hundred sixty-four thousand, two hundred fifty-six".