36540 has 72 divisors (see below), whose sum is σ = 131040. Its totient is φ = 8064.

The previous prime is 36529. The next prime is 36541. The reversal of 36540 is 4563.

36540 = T₃₅ + T₃₆ + ... + T₆₃.

It is a happy number.

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

It is a nialpdrome in base 6 and base 9.

It is a zygodrome in base 6.

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 36540.

It is not an unprimeable number, because it can be changed into a prime (36541) 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, 1246 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

2³⁶⁵⁴⁰ is an apocalyptic number.

36540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

36540 is an abundant number, since it is smaller than the sum of its proper divisors (94500).

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

36540 is a wasteful number, since it uses less digits than its factorization.

36540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36540 is about 191.1543878649. The cubic root of 36540 is about 33.1835501806.

It can be divided in two parts, 36 and 540, that added together give a square (576 = 24²).

The spelling of 36540 in words is "thirty-six thousand, five hundred forty".