40689 has 16 divisors (see below), whose sum is σ = 66240. Its totient is φ = 24480.

The previous prime is 40639. The next prime is 40693. The reversal of 40689 is 98604.

It is not a de Polignac number, because 40689 - 2⁸ = 40433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 4³ + 0 + 6⁵ + 8⁵ + 9² .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (40609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (4140).

2⁴⁰⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

40689 is a deficient number, since it is larger than the sum of its proper divisors (25551).

40689 is a wasteful number, since it uses less digits than its factorization.

40689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40689 is about 201.7151456882. The cubic root of 40689 is about 34.3947643916.

It can be divided in two parts, 40 and 689, that added together give a 6-th power (729 = 3⁶).

The spelling of 40689 in words is "forty thousand, six hundred eighty-nine".