180048 has 60 divisors (see below), whose sum is σ = 527744. Its totient is φ = 52800.

The previous prime is 180043. The next prime is 180053. The reversal of 180048 is 840081.

It is an interprime number because it is at equal distance from previous prime (180043) and next prime (180053).

It is a zygodrome in base 4 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5793 + ... + 5823.

2¹⁸⁰⁰⁴⁸ 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 180048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263872).

180048 is an abundant number, since it is smaller than the sum of its proper divisors (347696).

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

180048 is a wasteful number, since it uses less digits than its factorization.

180048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 180048 is about 424.3206334837. The cubic root of 180048 is about 56.4671801456.

The spelling of 180048 in words is "one hundred eighty thousand, forty-eight".