180736 has 20 divisors (see below), whose sum is σ = 362142. Its totient is φ = 90112.

The previous prime is 180731. The next prime is 180749. The reversal of 180736 is 637081.

180736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 20736 = 400^2 + 144^2 .

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 180736.

It is not an unprimeable number, because it can be changed into a prime (180731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 336 + ... + 688.

180736 is a Friedman number, since it can be written as 706*(3-1)^8, using all its digits and the basic arithmetic operations.

2¹⁸⁰⁷³⁶ is an apocalyptic number.

180736 is a gapful number since it is divisible by the number (16) 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 180736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181071).

180736 is an abundant number, since it is smaller than the sum of its proper divisors (181406).

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

180736 is an frugal number, since it uses more digits than its factorization.

180736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 180736 is about 425.1305681788. The cubic root of 180736 is about 56.5390129178.

The spelling of 180736 in words is "one hundred eighty thousand, seven hundred thirty-six".