1268264288 has 48 divisors (see below), whose sum is σ = 2640078000. Its totient is φ = 598067712.

The previous prime is 1268264273. The next prime is 1268264303. The reversal of 1268264288 is 8824628621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1268264273) and next prime (1268264303).

It is a super-2 number, since 2×1268264288² = 3216988608432293888, 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 7 ways as a sum of consecutive naturals, for example, 134678 + ... + 143786.

It is an arithmetic number, because the mean of its divisors is an integer number (55001625).

Almost surely, 2^1268264288 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 1268264288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320039000).

1268264288 is an abundant number, since it is smaller than the sum of its proper divisors (1371813712).

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

1268264288 is a wasteful number, since it uses less digits than its factorization.

1268264288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367 (or 9359 counting only the distinct ones).

The product of its digits is 589824, while the sum is 47.

The square root of 1268264288 is about 35612.6984094157. The cubic root of 1268264288 is about 1082.4385592729.

The spelling of 1268264288 in words is "one billion, two hundred sixty-eight million, two hundred sixty-four thousand, two hundred eighty-eight".