332064 has 36 divisors (see below), whose sum is σ = 945126. Its totient is φ = 110592.

The previous prime is 332053. The next prime is 332069. The reversal of 332064 is 460233.

332064 = 47³ + 48³ + 49³.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 90000 = 492^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×332064² = 220533000192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 332064.

It is not an unprimeable number, because it can be changed into a prime (332069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 289 + ... + 864.

2³³²⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

332064 is an abundant number, since it is smaller than the sum of its proper divisors (613062).

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

332064 is a wasteful number, since it uses less digits than its factorization.

332064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 332064 is about 576.2499457701. The cubic root of 332064 is about 69.2480048255.

Adding to 332064 its reverse (460233), we get a palindrome (792297).

The spelling of 332064 in words is "three hundred thirty-two thousand, sixty-four".