1768888960 has 64 divisors (see below), whose sum is σ = 4249116000. Its totient is φ = 704148480.

The previous prime is 1768888949. The next prime is 1768888967. The reversal of 1768888960 is 698888671.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1768888967) 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, 128491 + ... + 141589.

Almost surely, 2^1768888960 is an apocalyptic number.

1768888960 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 1768888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124558000).

1768888960 is an abundant number, since it is smaller than the sum of its proper divisors (2480227040).

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

1768888960 is a wasteful number, since it uses less digits than its factorization.

1768888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13329 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 61.

The square root of 1768888960 is about 42058.1616336235. The cubic root of 1768888960 is about 1209.3913474633.

The spelling of 1768888960 in words is "one billion, seven hundred sixty-eight million, eight hundred eighty-eight thousand, nine hundred sixty".