1768224 has 48 divisors (see below), whose sum is σ = 4711392. Its totient is φ = 580608.

The previous prime is 1768223. The next prime is 1768229. The reversal of 1768224 is 4228671.

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

It is a super-2 number, since 2×1768224² = 6253232228352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1768191 and 1768200.

It is not an unprimeable number, because it can be changed into a prime (1768223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10767 + ... + 10929.

It is an arithmetic number, because the mean of its divisors is an integer number (98154).

2^1768224 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 1768224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355696).

1768224 is an abundant number, since it is smaller than the sum of its proper divisors (2943168).

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

1768224 is a wasteful number, since it uses less digits than its factorization.

1768224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 1768224 is about 1329.7458403770. The cubic root of 1768224 is about 120.9239783840.

The spelling of 1768224 in words is "one million, seven hundred sixty-eight thousand, two hundred twenty-four".