36440 has 16 divisors (see below), whose sum is σ = 82080. Its totient is φ = 14560.

The previous prime is 36433. The next prime is 36451. The reversal of 36440 is 4463.

36440 = 40² + 41² + ... + 55².

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36440.

It is an unprimeable number.

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, 416 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2³⁶⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

36440 is an abundant number, since it is smaller than the sum of its proper divisors (45640).

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 (41040).

36440 is a wasteful number, since it uses less digits than its factorization.

36440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 36440 is about 190.8926399838. The cubic root of 36440 is about 33.1532510857.

It can be divided in two parts, 364 and 40, that added together give a palindrome (404).

The spelling of 36440 in words is "thirty-six thousand, four hundred forty".