126304256 has 60 divisors (see below), whose sum is σ = 272490372. Its totient is φ = 58195968.

The previous prime is 126304249. The next prime is 126304279. The reversal of 126304256 is 652403621.

It can be written as a sum of positive squares in 2 ways, for example, as 46022656 + 80281600 = 6784^2 + 8960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212696 + ... + 213288.

Almost surely, 2^126304256 is an apocalyptic number.

126304256 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 126304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136245186).

126304256 is an abundant number, since it is smaller than the sum of its proper divisors (146186116).

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

126304256 is an frugal number, since it uses more digits than its factorization.

126304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 126304256 is about 11238.5166280964. The cubic root of 126304256 is about 501.7329945205.

Adding to 126304256 its reverse (652403621), we get a palindrome (778707877).

The spelling of 126304256 in words is "one hundred twenty-six million, three hundred four thousand, two hundred fifty-six".