182320 has 40 divisors (see below), whose sum is σ = 441936. Its totient is φ = 69888.

The previous prime is 182309. The next prime is 182333. The reversal of 182320 is 23281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 182294 and 182303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3414 + ... + 3466.

2¹⁸²³²⁰ is an apocalyptic number.

182320 is a gapful number since it is divisible by the number (10) 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 182320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220968).

182320 is an abundant number, since it is smaller than the sum of its proper divisors (259616).

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

182320 is a wasteful number, since it uses less digits than its factorization.

182320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 182320 is about 426.9894612283. The cubic root of 182320 is about 56.7037051205.

The spelling of 182320 in words is "one hundred eighty-two thousand, three hundred twenty".