330765696 has 192 divisors, whose sum is σ = 1002456000. Its totient is φ = 104570880.

The previous prime is 330765671. The next prime is 330765697. The reversal of 330765696 is 696567033.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330765697) 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 23 ways as a sum of consecutive naturals, for example, 2219830 + ... + 2219978.

It is an arithmetic number, because the mean of its divisors is an integer number (5221125).

Almost surely, 2^330765696 is an apocalyptic number.

330765696 is a gapful number since it is divisible by the number (36) 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 330765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501228000).

330765696 is an abundant number, since it is smaller than the sum of its proper divisors (671690304).

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

330765696 is a wasteful number, since it uses less digits than its factorization.

330765696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 330765696 is about 18186.9650024406. The cubic root of 330765696 is about 691.5763832288.

The spelling of 330765696 in words is "three hundred thirty million, seven hundred sixty-five thousand, six hundred ninety-six".