1600224 has 48 divisors (see below), whose sum is σ = 4273920. Its totient is φ = 524160.

The previous prime is 1600223. The next prime is 1600241. The reversal of 1600224 is 4220061.

It is a Cunningham number, because it is equal to 1265²-1.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600223) 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, 7479 + ... + 7689.

It is an arithmetic number, because the mean of its divisors is an integer number (89040).

2^1600224 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 1600224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136960).

1600224 is an abundant number, since it is smaller than the sum of its proper divisors (2673696).

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

1600224 is a wasteful number, since it uses less digits than its factorization.

1600224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1600224 is about 1264.9996047430. Note that the first 3 decimals coincide. The cubic root of 1600224 is about 116.9661674403.

Adding to 1600224 its reverse (4220061), we get a palindrome (5820285).

The spelling of 1600224 in words is "one million, six hundred thousand, two hundred twenty-four".