1268988032 has 64 divisors (see below), whose sum is σ = 2816515800. Its totient is φ = 565469184.

The previous prime is 1268988031. The next prime is 1268988037. The reversal of 1268988032 is 2308898621.

It can be written as a sum of positive squares in 4 ways, for example, as 877581376 + 391406656 = 29624^2 + 19784^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1268988032² = 3220661250718466048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268988031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35108 + ... + 61404.

Almost surely, 2^1268988032 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 1268988032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408257900).

1268988032 is an abundant number, since it is smaller than the sum of its proper divisors (1547527768).

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

1268988032 is a wasteful number, since it uses less digits than its factorization.

1268988032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26353 (or 26341 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 1268988032 is about 35622.8582794812. The cubic root of 1268988032 is about 1082.6444205297.

The spelling of 1268988032 in words is "one billion, two hundred sixty-eight million, nine hundred eighty-eight thousand, thirty-two".