1689642 has 48 divisors (see below), whose sum is σ = 3912480. Its totient is φ = 526176.

The previous prime is 1689641. The next prime is 1689659. The reversal of 1689642 is 2469861.

1689642 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 642 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 1 + 6⁴ + 8³ + 9 + 6⁸ + 4² + 2¹³ .

Its product of digits (20736) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1689597 and 1689606.

It is not an unprimeable number, because it can be changed into a prime (1689641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28609 + ... + 28667.

It is an arithmetic number, because the mean of its divisors is an integer number (81510).

2^1689642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1689642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956240).

1689642 is an abundant number, since it is smaller than the sum of its proper divisors (2222838).

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

1689642 is a wasteful number, since it uses less digits than its factorization.

1689642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1689642 is about 1299.8623003995. The cubic root of 1689642 is about 119.1054311257.

The spelling of 1689642 in words is "one million, six hundred eighty-nine thousand, six hundred forty-two".