383768 has 48 divisors (see below), whose sum is σ = 923400. Its totient is φ = 147840.

The previous prime is 383767. The next prime is 383777. The reversal of 383768 is 867383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383767) 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, 4268 + ... + 4356.

383768 is a Friedman number, since it can be written as 7*(38^3-8*6), using all its digits and the basic arithmetic operations.

2³⁸³⁷⁶⁸ 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 383768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461700).

383768 is an abundant number, since it is smaller than the sum of its proper divisors (539632).

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

383768 is a wasteful number, since it uses less digits than its factorization.

383768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 383768 is about 619.4901129155. The cubic root of 383768 is about 72.6701828485.

The spelling of 383768 in words is "three hundred eighty-three thousand, seven hundred sixty-eight".