180948 has 24 divisors (see below), whose sum is σ = 447552. Its totient is φ = 56704.

The previous prime is 180907. The next prime is 180949. The reversal of 180948 is 849081.

It is a happy number.

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 180948.

It is not an unprimeable number, because it can be changed into a prime (180949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (18648).

2¹⁸⁰⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

180948 is an abundant number, since it is smaller than the sum of its proper divisors (266604).

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

180948 is a wasteful number, since it uses less digits than its factorization.

180948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 180948 is about 425.3798302694. The cubic root of 180948 is about 56.5611106870.

It can be divided in two parts, 180 and 948, that added together give a triangular number (1128 = T₄₇).

The spelling of 180948 in words is "one hundred eighty thousand, nine hundred forty-eight".