1256626560 has 576 divisors, whose sum is σ = 5050505520. Its totient is φ = 264757248.

The previous prime is 1256626543. The next prime is 1256626573. The reversal of 1256626560 is 656266521.

It is a happy number.

1256626560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1256626560² = 3158220622594867200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33962862 + ... + 33962898.

Almost surely, 2^1256626560 is an apocalyptic number.

1256626560 is a gapful number since it is divisible by the number (10) 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 1256626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525252760).

1256626560 is an abundant number, since it is smaller than the sum of its proper divisors (3793878960).

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

1256626560 is a wasteful number, since it uses less digits than its factorization.

1256626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 1256626560 is about 35448.9288977819. The cubic root of 1256626560 is about 1079.1175232877.

The spelling of 1256626560 in words is "one billion, two hundred fifty-six million, six hundred twenty-six thousand, five hundred sixty".