224640 has 128 divisors (see below), whose sum is σ = 856800. Its totient is φ = 55296.

The previous prime is 224633. The next prime is 224669. The reversal of 224640 is 46422.

224640 is a `hidden beast` number, since 2 + 24 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8 and base 12.

It is a congruent number.

It is an unprimeable number.

224640 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, 17274 + ... + 17286.

2²²⁴⁶⁴⁰ is an apocalyptic number.

224640 is a gapful number since it is divisible by the number (20) 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 224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428400).

224640 is an abundant number, since it is smaller than the sum of its proper divisors (632160).

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

224640 is a wasteful number, since it uses less digits than its factorization.

224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224640 is about 473.9620237952. The cubic root of 224640 is about 60.7895642292.

224640 divided by its product of nonzero digits (384) gives a palindrome (585).

It can be divided in two parts, 2 and 24640, that added together give a palindrome (24642).

The spelling of 224640 in words is "two hundred twenty-four thousand, six hundred forty".