180088 has 8 divisors (see below), whose sum is σ = 337680. Its totient is φ = 90040.

The previous prime is 180077. The next prime is 180097. The reversal of 180088 is 880081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

180088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11248 + ... + 11263.

It is an arithmetic number, because the mean of its divisors is an integer number (42210).

2¹⁸⁰⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

180088 is a deficient number, since it is larger than the sum of its proper divisors (157592).

180088 is a wasteful number, since it uses less digits than its factorization.

180088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22517 (or 22513 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 180088 is about 424.3677650341. The cubic root of 180088 is about 56.4713614750.

It can be divided in two parts, 1 and 80088, that added together give a square (80089 = 283²).

The spelling of 180088 in words is "one hundred eighty thousand, eighty-eight".