1768368 has 80 divisors (see below), whose sum is σ = 5515520. Its totient is φ = 476928.

The previous prime is 1768367. The next prime is 1768373. The reversal of 1768368 is 8638671.

1768368 is nontrivially palindromic in base 13.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6246 + ... + 6522.

It is an arithmetic number, because the mean of its divisors is an integer number (68944).

2^1768368 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 1768368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757760).

1768368 is an abundant number, since it is smaller than the sum of its proper divisors (3747152).

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

1768368 is a wasteful number, since it uses less digits than its factorization.

1768368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1768368 is about 1329.7999849601. The cubic root of 1768368 is about 120.9272608829.

The spelling of 1768368 in words is "one million, seven hundred sixty-eight thousand, three hundred sixty-eight".