1270611456 has 160 divisors (see below), whose sum is σ = 3507204096. Its totient is φ = 408576000.

The previous prime is 1270611449. The next prime is 1270611479. The reversal of 1270611456 is 6541160721.

It is a super-2 number, since 2×1270611456² = 3228906944236879872, 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652321 + ... + 6652511.

Almost surely, 2^1270611456 is an apocalyptic number.

1270611456 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 1270611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753602048).

1270611456 is an abundant number, since it is smaller than the sum of its proper divisors (2236592640).

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

1270611456 is an equidigital number, since it uses as much as digits as its factorization.

1270611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1270611456 is about 35645.6372646079. The cubic root of 1270611456 is about 1083.1059016272.

The spelling of 1270611456 in words is "one billion, two hundred seventy million, six hundred eleven thousand, four hundred fifty-six".