1768320 has 96 divisors (see below), whose sum is σ = 6126120. Its totient is φ = 470016.

The previous prime is 1768313. The next prime is 1768321. The reversal of 1768320 is 238671.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768321) 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 11 ways as a sum of consecutive naturals, for example, 5607 + ... + 5913.

2^1768320 is an apocalyptic number.

1768320 is a gapful number since it is divisible by the number (10) 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 1768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063060).

1768320 is an abundant number, since it is smaller than the sum of its proper divisors (4357800).

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

1768320 is a wasteful number, since it uses less digits than its factorization.

1768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1768320 is about 1329.7819370107. The cubic root of 1768320 is about 120.9261667364.

The spelling of 1768320 in words is "one million, seven hundred sixty-eight thousand, three hundred twenty".