180896 has 12 divisors (see below), whose sum is σ = 356202. Its totient is φ = 90432.

The previous prime is 180883. The next prime is 180907. The reversal of 180896 is 698081.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 48400 = 364^2 + 220^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 5653 = 180896 / (1 + 8 + 0 + 8 + 9 + 6).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180896.

It is an unprimeable number.

180896 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, 2795 + ... + 2858.

2¹⁸⁰⁸⁹⁶ is an apocalyptic number.

180896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

180896 is a deficient number, since it is larger than the sum of its proper divisors (175306).

180896 is an equidigital number, since it uses as much as digits as its factorization.

180896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 180896 is about 425.3187040326. The cubic root of 180896 is about 56.5556920777. Note that the first 3 decimals are identical.

The spelling of 180896 in words is "one hundred eighty thousand, eight hundred ninety-six".