36040 has 32 divisors (see below), whose sum is σ = 87480. Its totient is φ = 13312.

The previous prime is 36037. The next prime is 36061. The reversal of 36040 is 4063.

36040 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 1444 = 186^2 + 38^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 706.

2³⁶⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43740).

36040 is an abundant number, since it is smaller than the sum of its proper divisors (51440).

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

36040 is a wasteful number, since it uses less digits than its factorization.

36040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 36040 is about 189.8420396013. The cubic root of 36040 is about 33.0314973225.

It can be divided in two parts, 360 and 40, that multiplied together give a square (14400 = 120²).

The spelling of 36040 in words is "thirty-six thousand, forty", and thus it is an eban number.