387648 has 42 divisors (see below), whose sum is σ = 1112774. Its totient is φ = 129024.

The previous prime is 387641. The next prime is 387659. The reversal of 387648 is 846783.

387648 is a `hidden beast` number, since 3 + 8 + 7 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 82944 = 552^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (387641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240 + ... + 912.

2³⁸⁷⁶⁴⁸ 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 387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556387).

387648 is an abundant number, since it is smaller than the sum of its proper divisors (725126).

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

387648 is a wasteful number, since it uses less digits than its factorization.

387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 387648 is about 622.6138450115. The cubic root of 387648 is about 72.9142672771.

Adding to 387648 its product of digits (32256), we get a square (419904 = 648²).

It can be divided in two parts, 387 and 648, that added together give a triangular number (1035 = T₄₅).

The spelling of 387648 in words is "three hundred eighty-seven thousand, six hundred forty-eight".