1264862976 has 144 divisors (see below), whose sum is σ = 3653690880. Its totient is φ = 386150400.

The previous prime is 1264862947. The next prime is 1264862981. The reversal of 1264862976 is 6792684621.

Its product of digits (1741824) is a multiple of the sum of its prime divisors (1008).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1507165 + ... + 1508003.

Almost surely, 2^1264862976 is an apocalyptic number.

1264862976 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 1264862976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826845440).

1264862976 is an abundant number, since it is smaller than the sum of its proper divisors (2388827904).

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

1264862976 is a wasteful number, since it uses less digits than its factorization.

1264862976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1008 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 1264862976 is about 35564.9121466650. The cubic root of 1264862976 is about 1081.4700420401.

The spelling of 1264862976 in words is "one billion, two hundred sixty-four million, eight hundred sixty-two thousand, nine hundred seventy-six".