387968 has 32 divisors (see below), whose sum is σ = 885360. Its totient is φ = 165888.

The previous prime is 387967. The next prime is 387971. The reversal of 387968 is 869783.

387968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 680 + ... + 1112.

2³⁸⁷⁹⁶⁸ 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 387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442680).

387968 is an abundant number, since it is smaller than the sum of its proper divisors (497392).

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

387968 is an equidigital number, since it uses as much as digits as its factorization.

387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 387968 is about 622.8707731143. The cubic root of 387968 is about 72.9343251201.

The spelling of 387968 in words is "three hundred eighty-seven thousand, nine hundred sixty-eight".