1032756864 has 64 divisors (see below), whose sum is σ = 2757818880. Its totient is φ = 342425600.

The previous prime is 1032756863. The next prime is 1032756869. The reversal of 1032756864 is 4686572301.

1032756864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1032756864² = 2133173480278228992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1032756863) 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, 66304 + ... + 80384.

It is an arithmetic number, because the mean of its divisors is an integer number (43090920).

Almost surely, 2^1032756864 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 1032756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378909440).

1032756864 is an abundant number, since it is smaller than the sum of its proper divisors (1725062016).

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

1032756864 is a wasteful number, since it uses less digits than its factorization.

1032756864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14289 (or 14277 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 1032756864 is about 32136.5347229598. The cubic root of 1032756864 is about 1010.8018544860.

The spelling of 1032756864 in words is "one billion, thirty-two million, seven hundred fifty-six thousand, eight hundred sixty-four".