180576 has 96 divisors (see below), whose sum is σ = 604800. Its totient is φ = 51840.

The previous prime is 180569. The next prime is 180617. The reversal of 180576 is 675081.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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 180576.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9495 + ... + 9513.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹⁸⁰⁵⁷⁶ is an apocalyptic number.

180576 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 180576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

180576 is an abundant number, since it is smaller than the sum of its proper divisors (424224).

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

180576 is a wasteful number, since it uses less digits than its factorization.

180576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 180576 is about 424.9423490310. The cubic root of 180576 is about 56.5223239113.

It can be divided in two parts, 1805 and 76, that added together give a palindrome (1881).

The spelling of 180576 in words is "one hundred eighty thousand, five hundred seventy-six".