1689411601 has 32 divisors (see below), whose sum is σ = 1902368160. Its totient is φ = 1492992000.

The previous prime is 1689411599. The next prime is 1689411611. The reversal of 1689411601 is 1061149861.

It can be written as a sum of positive squares in 16 ways, for example, as 201601 + 1689210000 = 449^2 + 41100^2 .

It is a 4-Lehmer number, since φ(1689411601) divides (1689411601-1)⁴.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 1689411601 - 2¹ = 1689411599 is a prime.

It is a super-2 number, since 2×1689411601² = 5708223115186766402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_1689411600.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1689411611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2810701 + ... + 2811301.

It is an arithmetic number, because the mean of its divisors is an integer number (59449005).

It is a Poulet number, since it divides 2^1689411600-1.

Almost surely, 2^1689411601 is an apocalyptic number.

It is an amenable number.

1689411601 is a deficient number, since it is larger than the sum of its proper divisors (212956559).

1689411601 is a wasteful number, since it uses less digits than its factorization.

1689411601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805.

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 1689411601 is about 41102.4524937381. The cubic root of 1689411601 is about 1191.0001715450. Note that the first 3 decimals are identical.

The spelling of 1689411601 in words is "one billion, six hundred eighty-nine million, four hundred eleven thousand, six hundred one".