387024 has 40 divisors (see below), whose sum is σ = 1092192. Its totient is φ = 117120.

The previous prime is 387017. The next prime is 387031. The reversal of 387024 is 420783.

It is an interprime number because it is at equal distance from previous prime (387017) and next prime (387031).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 386985 and 387003.

It is a congruent number.

It is an unprimeable number.

387024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 894.

2³⁸⁷⁰²⁴ 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 387024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546096).

387024 is an abundant number, since it is smaller than the sum of its proper divisors (705168).

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

387024 is a wasteful number, since it uses less digits than its factorization.

387024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 387024 is about 622.1125300137. The cubic root of 387024 is about 72.8751227114.

The spelling of 387024 in words is "three hundred eighty-seven thousand, twenty-four".