12578256 has 60 divisors (see below), whose sum is σ = 35559108. Its totient is φ = 4150272.

The previous prime is 12578239. The next prime is 12578303. The reversal of 12578256 is 65287521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 12110400 = 684^2 + 3480^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12578256.

It is a congruent number.

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, 15886 + ... + 16658.

Almost surely, 2^12578256 is an apocalyptic number.

12578256 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 12578256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17779554).

12578256 is an abundant number, since it is smaller than the sum of its proper divisors (22980852).

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

12578256 is a wasteful number, since it uses less digits than its factorization.

12578256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 891 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 12578256 is about 3546.5837083030. The cubic root of 12578256 is about 232.5627440788.

The spelling of 12578256 in words is "twelve million, five hundred seventy-eight thousand, two hundred fifty-six".