387960 has 64 divisors (see below), whose sum is σ = 1205280. Its totient is φ = 99840.

The previous prime is 387953. The next prime is 387967. The reversal of 387960 is 69783.

It is a happy number.

387960 is nontrivially palindromic in base 9.

387960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (387953) and next prime (387967).

It is a congruent number.

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

387960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6330 + ... + 6390.

2³⁸⁷⁹⁶⁰ is an apocalyptic number.

387960 is a gapful number since it is divisible by the number (30) 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 387960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640).

387960 is an abundant number, since it is smaller than the sum of its proper divisors (817320).

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

387960 is a wasteful number, since it uses less digits than its factorization.

387960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 387960 is about 622.8643512034. The cubic root of 387960 is about 72.9338238084.

The spelling of 387960 in words is "three hundred eighty-seven thousand, nine hundred sixty".