328660641 has 9 divisors (see below), whose sum is σ = 474810609. Its totient is φ = 219070836.

The previous prime is 328660589. The next prime is 328660669. The reversal of 328660641 is 146066823.

The square root of 328660641 is 18129.

It is a perfect power (a square), and thus also a powerful number.

328660641 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 6 + 0 + 641 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 328660641 - 2⁷ = 328660513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 328660596 and 328660605.

It is not an unprimeable number, because it can be changed into a prime (328660681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51366 + ... + 57408.

Almost surely, 2^328660641 is an apocalyptic number.

328660641 is the 18129-th square number.

328660641 is the 9065-th centered octagonal number.

It is an amenable number.

328660641 is a deficient number, since it is larger than the sum of its proper divisors (146149968).

328660641 is an frugal number, since it uses more digits than its factorization.

328660641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12092 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 328660641 is about 690.1061525403.

Multiplying 328660641 by its sum of digits (36), we get a square (11831783076 = 108774²).

It can be divided in two parts, 328 and 660641, that added together give a square (660969 = 813²).

The spelling of 328660641 in words is "three hundred twenty-eight million, six hundred sixty thousand, six hundred forty-one".