880224 has 48 divisors (see below), whose sum is σ = 2367792. Its totient is φ = 286208.

The previous prime is 880223. The next prime is 880247. The reversal of 880224 is 422088.

880224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 880194 and 880203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880223) 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, 5002 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (49329).

2⁸⁸⁰²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183896).

880224 is an abundant number, since it is smaller than the sum of its proper divisors (1487568).

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

880224 is a wasteful number, since it uses less digits than its factorization.

880224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 880224 is about 938.2025367691. The cubic root of 880224 is about 95.8365273458.

The spelling of 880224 in words is "eight hundred eighty thousand, two hundred twenty-four".