1264781056 has 216 divisors, whose sum is σ = 3349216640. Its totient is φ = 465315840.

The previous prime is 1264781051. The next prime is 1264781057. The reversal of 1264781056 is 6501874621.

It is a super-2 number, since 2×1264781056² = 3199342239232950272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264781051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4119655 + ... + 4119961.

Almost surely, 2^1264781056 is an apocalyptic number.

1264781056 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 1264781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674608320).

1264781056 is an abundant number, since it is smaller than the sum of its proper divisors (2084435584).

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

1264781056 is a wasteful number, since it uses less digits than its factorization.

1264781056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1264781056 is about 35563.7604310905. The cubic root of 1264781056 is about 1081.4466940727.

The spelling of 1264781056 in words is "one billion, two hundred sixty-four million, seven hundred eighty-one thousand, fifty-six".