178220 has 48 divisors (see below), whose sum is σ = 456960. Its totient is φ = 57024.

The previous prime is 178207. The next prime is 178223. The reversal of 178220 is 22871.

178220 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 178192 and 178201.

It is not an unprimeable number, because it can be changed into a prime (178223) by changing a digit.

178220 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 in 15 ways as a sum of consecutive naturals, for example, 2627 + ... + 2693.

It is an arithmetic number, because the mean of its divisors is an integer number (9520).

2¹⁷⁸²²⁰ is an apocalyptic number.

178220 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 178220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

178220 is an abundant number, since it is smaller than the sum of its proper divisors (278740).

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

178220 is a wasteful number, since it uses less digits than its factorization.

178220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 178220 is about 422.1611066880. The cubic root of 178220 is about 56.2754288319.

178220 divided by its sum of digits (20) gives a triangular number (8911 = T₁₃₃).

The spelling of 178220 in words is "one hundred seventy-eight thousand, two hundred twenty".