1768960 has 40 divisors (see below), whose sum is σ = 4247496. Its totient is φ = 706560.

The previous prime is 1768951. The next prime is 1768967. The reversal of 1768960 is 698671.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2215 + ... + 2905.

2^1768960 is an apocalyptic number.

1768960 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 1768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123748).

1768960 is an abundant number, since it is smaller than the sum of its proper divisors (2478536).

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

1768960 is an frugal number, since it uses more digits than its factorization.

1768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1768960 is about 1330.0225561997. The cubic root of 1768960 is about 120.9407537289.

The spelling of 1768960 in words is "one million, seven hundred sixty-eight thousand, nine hundred sixty".