1331666064 has 45 divisors (see below), whose sum is σ = 3728041369. Its totient is φ = 443742720.

The previous prime is 1331666057. The next prime is 1331666069. The reversal of 1331666064 is 4606661331.

The square root of 1331666064 is 36492.

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

It can be written as a sum of positive squares in only one way, i.e., 1303787664 + 27878400 = 36108^2 + 5280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331666069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 436384 + ... + 439424.

Almost surely, 2^1331666064 is an apocalyptic number.

1331666064 is the 36492-nd square number.

It is an amenable number.

1331666064 is an abundant number, since it is smaller than the sum of its proper divisors (2396375305).

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

1331666064 is an frugal number, since it uses more digits than its factorization.

1331666064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The cubic root of 1331666064 is about 1100.1834581064.

Multiplying 1331666064 by its sum of digits (36), we get a square (47939978304 = 218952²).

1331666064 divided by its sum of digits (36) gives a square (36990724 = 6082²).

Multiplying 1331666064 by its product of nonzero digits (46656), we get a square (62130211881984 = 7882272²).

The spelling of 1331666064 in words is "one billion, three hundred thirty-one million, six hundred sixty-six thousand, sixty-four".