1032572864 has 56 divisors (see below), whose sum is σ = 2133728016. Its totient is φ = 495360000.

The previous prime is 1032572851. The next prime is 1032572873. The reversal of 1032572864 is 4682752301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 156839 + ... + 163289.

It is an arithmetic number, because the mean of its divisors is an integer number (38102286).

Almost surely, 2^1032572864 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 1032572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066864008).

1032572864 is an abundant number, since it is smaller than the sum of its proper divisors (1101155152).

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

1032572864 is an equidigital number, since it uses as much as digits as its factorization.

1032572864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6555 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 1032572864 is about 32133.6718101122. The cubic root of 1032572864 is about 1010.7418214507.

The spelling of 1032572864 in words is "one billion, thirty-two million, five hundred seventy-two thousand, eight hundred sixty-four".