180536 has 8 divisors (see below), whose sum is σ = 338520. Its totient is φ = 90264.

The previous prime is 180533. The next prime is 180539. The reversal of 180536 is 635081.

180536 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (180533) and next prime (180539).

It is a tau number, because it is divible by the number of its divisors (8).

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 180536.

It is not an unprimeable number, because it can be changed into a prime (180533) 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 as a sum of consecutive naturals, namely, 11276 + ... + 11291.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2¹⁸⁰⁵³⁶ is an apocalyptic number.

It is an amenable number.

180536 is a deficient number, since it is larger than the sum of its proper divisors (157984).

180536 is a wasteful number, since it uses less digits than its factorization.

180536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22573 (or 22569 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 180536 is about 424.8952812164. The cubic root of 180536 is about 56.5181501194.

It can be divided in two parts, 1805 and 36, that multiplied together give a triangular number (64980 = T₃₆₀).

The spelling of 180536 in words is "one hundred eighty thousand, five hundred thirty-six".