1608768 has 168 divisors, whose sum is σ = 5791200. Its totient is φ = 435456.

The previous prime is 1608751. The next prime is 1608769. The reversal of 1608768 is 8678061.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1608769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84663 + ... + 84681.

2^1608768 is an apocalyptic number.

1608768 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 1608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895600).

1608768 is an abundant number, since it is smaller than the sum of its proper divisors (4182432).

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

1608768 is a wasteful number, since it uses less digits than its factorization.

1608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1608768 is about 1268.3721851255. The cubic root of 1608768 is about 117.1739686776.

The spelling of 1608768 in words is "one million, six hundred eight thousand, seven hundred sixty-eight".