1033268688 has 120 divisors (see below), whose sum is σ = 3001879296. Its totient is φ = 331430400.

The previous prime is 1033268681. The next prime is 1033268693. The reversal of 1033268688 is 8868623301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033268681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941356 + ... + 942452.

Almost surely, 2^1033268688 is an apocalyptic number.

1033268688 is a gapful number since it is divisible by the number (18) 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 1033268688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500939648).

1033268688 is an abundant number, since it is smaller than the sum of its proper divisors (1968610608).

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

1033268688 is a wasteful number, since it uses less digits than its factorization.

1033268688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1033268688 is about 32144.4970095971. The cubic root of 1033268688 is about 1010.9688080143.

The spelling of 1033268688 in words is "one billion, thirty-three million, two hundred sixty-eight thousand, six hundred eighty-eight".