180744 has 32 divisors (see below), whose sum is σ = 479520. Its totient is φ = 56576.

The previous prime is 180731. The next prime is 180749. The reversal of 180744 is 447081.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180749) by changing a digit.

180744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (14985).

2¹⁸⁰⁷⁴⁴ 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 180744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239760).

180744 is an abundant number, since it is smaller than the sum of its proper divisors (298776).

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

180744 is a wasteful number, since it uses less digits than its factorization.

180744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 180744 is about 425.1399769488. The cubic root of 180744 is about 56.5398471095.

The spelling of 180744 in words is "one hundred eighty thousand, seven hundred forty-four".