180468 has 30 divisors (see below), whose sum is σ = 472626. Its totient is φ = 60048.

The previous prime is 180463. The next prime is 180473. The reversal of 180468 is 864081.

It is an interprime number because it is at equal distance from previous prime (180463) and next prime (180473).

It can be written as a sum of positive squares in only one way, i.e., 116964 + 63504 = 342^2 + 252^2 .

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 180468.

It is not an unprimeable number, because it can be changed into a prime (180463) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 46 + ... + 602.

2¹⁸⁰⁴⁶⁸ is an apocalyptic number.

180468 is a gapful number since it is divisible by the number (18) 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 180468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236313).

180468 is an abundant number, since it is smaller than the sum of its proper divisors (292158).

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

180468 is a wasteful number, since it uses less digits than its factorization.

180468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 180468 is about 424.8152539634. The cubic root of 180468 is about 56.5110532582.

The spelling of 180468 in words is "one hundred eighty thousand, four hundred sixty-eight".