40580 has 12 divisors (see below), whose sum is σ = 85260. Its totient is φ = 16224.

The previous prime is 40577. The next prime is 40583. The reversal of 40580 is 8504.

It is an interprime number because it is at equal distance from previous prime (40577) and next prime (40583).

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 9604 = 176^2 + 98^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 995 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (7105).

2⁴⁰⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

40580 is an abundant number, since it is smaller than the sum of its proper divisors (44680).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42630).

40580 is a wasteful number, since it uses less digits than its factorization.

40580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 40580 is about 201.4447815159. Note that the first 3 decimals coincide. The cubic root of 40580 is about 34.3640240440.

It can be divided in two parts, 405 and 80, that multiplied together give a square (32400 = 180²).

The spelling of 40580 in words is "forty thousand, five hundred eighty".