1681164004 has 81 divisors (see below), whose sum is σ = 3403249353. Its totient is φ = 726227424.

The previous prime is 1681163993. The next prime is 1681164011. The reversal of 1681164004 is 4004611861.

The square root of 1681164004 is 41002.

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., 248692900 + 1432471104 = 15770^2 + 37848^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 20254947 + ... + 20255029.

Almost surely, 2^1681164004 is an apocalyptic number.

1681164004 is the 41002-nd square number.

It is an amenable number.

1681164004 is an abundant number, since it is smaller than the sum of its proper divisors (1722085349).

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

1681164004 is a wasteful number, since it uses less digits than its factorization.

1681164004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 1681164004 is about 1189.0588806969.

Adding to 1681164004 its reverse (4004611861), we get a palindrome (5685775865).

The spelling of 1681164004 in words is "one billion, six hundred eighty-one million, one hundred sixty-four thousand, four".