1032768 has 84 divisors (see below), whose sum is σ = 3249168. Its totient is φ = 311040.

The previous prime is 1032763. The next prime is 1032793. The reversal of 1032768 is 8672301.

It is not an unprimeable number, because it can be changed into a prime (1032763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6255 + ... + 6417.

2^1032768 is an apocalyptic number.

1032768 is a gapful number since it is divisible by the number (18) 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 1032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624584).

1032768 is an abundant number, since it is smaller than the sum of its proper divisors (2216400).

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

1032768 is a wasteful number, since it uses less digits than its factorization.

1032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

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

The square root of 1032768 is about 1016.2519372675. The cubic root of 1032768 is about 101.0805487561.

The spelling of 1032768 in words is "one million, thirty-two thousand, seven hundred sixty-eight".