332512768 has 120 divisors (see below), whose sum is σ = 804470832. Its totient is φ = 134479872.

The previous prime is 332512757. The next prime is 332512777. The reversal of 332512768 is 867215233.

332512768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332512768² = 221129481766043648, which contains 22 as substring.

Its product of digits (60480) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1293696 + ... + 1293952.

Almost surely, 2^332512768 is an apocalyptic number.

332512768 is a gapful number since it is divisible by the number (38) 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 332512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402235416).

332512768 is an abundant number, since it is smaller than the sum of its proper divisors (471958064).

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

332512768 is an equidigital number, since it uses as much as digits as its factorization.

332512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 285 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 332512768 is about 18234.9326294341. The cubic root of 332512768 is about 692.7918586267.

The spelling of 332512768 in words is "three hundred thirty-two million, five hundred twelve thousand, seven hundred sixty-eight".