1920768 has 72 divisors (see below), whose sum is σ = 5322576. Its totient is φ = 614400.

The previous prime is 1920761. The next prime is 1920769. The reversal of 1920768 is 8670291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920761) 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, 31458 + ... + 31518.

2^1920768 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 1920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661288).

1920768 is an abundant number, since it is smaller than the sum of its proper divisors (3401808).

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

1920768 is an equidigital number, since it uses as much as digits as its factorization.

1920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1920768 is about 1385.9177464770. The cubic root of 1920768 is about 124.3058699358.

The spelling of 1920768 in words is "one million, nine hundred twenty thousand, seven hundred sixty-eight".