40590 has 48 divisors (see below), whose sum is σ = 117936. Its totient is φ = 9600.

The previous prime is 40583. The next prime is 40591. The reversal of 40590 is 9504.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40591) 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, 970 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

2⁴⁰⁵⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968).

40590 is an abundant number, since it is smaller than the sum of its proper divisors (77346).

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

40590 is a wasteful number, since it uses less digits than its factorization.

40590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 40590 is about 201.4696006846. The cubic root of 40590 is about 34.3668465511.

It can be divided in two parts, 40 and 590, that added together give a triangular number (630 = T₃₅).

The spelling of 40590 in words is "forty thousand, five hundred ninety".