1033368768 has 84 divisors (see below), whose sum is σ = 2970082960. Its totient is φ = 343512576.

The previous prime is 1033368767. The next prime is 1033368769. The reversal of 1033368768 is 8678633301.

It is an interprime number because it is at equal distance from previous prime (1033368767) and next prime (1033368769).

It is not an unprimeable number, because it can be changed into a prime (1033368761) 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 11 ways as a sum of consecutive naturals, for example, 226413 + ... + 230931.

Almost surely, 2^1033368768 is an apocalyptic number.

1033368768 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 1033368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485041480).

1033368768 is an abundant number, since it is smaller than the sum of its proper divisors (1936714192).

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

1033368768 is a wasteful number, since it uses less digits than its factorization.

1033368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1033368768 is about 32146.0536924830. The cubic root of 1033368768 is about 1011.0014469890.

The spelling of 1033368768 in words is "one billion, thirty-three million, three hundred sixty-eight thousand, seven hundred sixty-eight".