385968 has 80 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 107520.

The previous prime is 385967. The next prime is 385991. The reversal of 385968 is 869583.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385968.

It is not an unprimeable number, because it can be changed into a prime (385967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8955 + ... + 8997.

2³⁸⁵⁹⁶⁸ 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 385968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

385968 is an abundant number, since it is smaller than the sum of its proper divisors (792528).

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

385968 is a wasteful number, since it uses less digits than its factorization.

385968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 385968 is about 621.2632292354. The cubic root of 385968 is about 72.8087820988.

It can be divided in two parts, 38 and 5968, that added together give a palindrome (6006).

The spelling of 385968 in words is "three hundred eighty-five thousand, nine hundred sixty-eight".