387624 has 32 divisors (see below), whose sum is σ = 1002240. Its totient is φ = 124800.

The previous prime is 387623. The next prime is 387631. The reversal of 387624 is 426783.

387624 is nontrivially palindromic in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 387591 and 387600.

It is not an unprimeable number, because it can be changed into a prime (387623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (31320).

2³⁸⁷⁶²⁴ 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 387624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501120).

387624 is an abundant number, since it is smaller than the sum of its proper divisors (614616).

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

387624 is a wasteful number, since it uses less digits than its factorization.

387624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 387624 is about 622.5945711296. The cubic root of 387624 is about 72.9127624939.

The spelling of 387624 in words is "three hundred eighty-seven thousand, six hundred twenty-four".