532320768 has 160 divisors (see below), whose sum is σ = 1801134720. Its totient is φ = 152064000.

The previous prime is 532320751. The next prime is 532320769. The reversal of 532320768 is 867023235.

532320768 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (532320769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94018 + ... + 99518.

It is an arithmetic number, because the mean of its divisors is an integer number (11257092).

Almost surely, 2^532320768 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 532320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900567360).

532320768 is an abundant number, since it is smaller than the sum of its proper divisors (1268813952).

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

532320768 is an equidigital number, since it uses as much as digits as its factorization.

532320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 532320768 is about 23072.0776697722. The cubic root of 532320768 is about 810.4467220336.

The spelling of 532320768 in words is "five hundred thirty-two million, three hundred twenty thousand, seven hundred sixty-eight".