1008768 has 64 divisors (see below), whose sum is σ = 2790720. Its totient is φ = 322560.

The previous prime is 1008743. The next prime is 1008773. The reversal of 1008768 is 8678001.

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

It is a super-2 number, since 2×1008768² = 2035225755648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14173 + ... + 14243.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

2^1008768 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 1008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395360).

1008768 is an abundant number, since it is smaller than the sum of its proper divisors (1781952).

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

1008768 is an equidigital number, since it uses as much as digits as its factorization.

1008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1008768 is about 1004.3744321716. The cubic root of 1008768 is about 100.2914166053.

The spelling of 1008768 in words is "one million, eight thousand, seven hundred sixty-eight".