330552640 has 84 divisors (see below), whose sum is σ = 865292148. Its totient is φ = 120186880.

The previous prime is 330552617. The next prime is 330552661. The reversal of 330552640 is 46255033.

It can be written as a sum of positive squares in 2 ways, for example, as 213393664 + 117158976 = 14608^2 + 10824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330552599 and 330552608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34452 + ... + 42988.

It is an arithmetic number, because the mean of its divisors is an integer number (10301097).

Almost surely, 2^330552640 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 330552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432646074).

330552640 is an abundant number, since it is smaller than the sum of its proper divisors (534739508).

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

330552640 is a wasteful number, since it uses less digits than its factorization.

330552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8576 (or 8555 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 330552640 is about 18181.1066769875. The cubic root of 330552640 is about 691.4278630453.

It can be divided in two parts, 3305 and 52640, that added together give a triangular number (55945 = T₃₃₄).

The spelling of 330552640 in words is "three hundred thirty million, five hundred fifty-two thousand, six hundred forty".