1267945656 has 128 divisors (see below), whose sum is σ = 3459456000. Its totient is φ = 386039808.

The previous prime is 1267945643. The next prime is 1267945699. The reversal of 1267945656 is 6565497621.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1267945599 and 1267945608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1648440 + ... + 1649208.

It is an arithmetic number, because the mean of its divisors is an integer number (27027000).

Almost surely, 2^1267945656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267945656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728000).

1267945656 is an abundant number, since it is smaller than the sum of its proper divisors (2191510344).

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

1267945656 is a wasteful number, since it uses less digits than its factorization.

1267945656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 929 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 1267945656 is about 35608.2245555714. The cubic root of 1267945656 is about 1082.3479029710.

The spelling of 1267945656 in words is "one billion, two hundred sixty-seven million, nine hundred forty-five thousand, six hundred fifty-six".