390648 has 32 divisors (see below), whose sum is σ = 1002960. Its totient is φ = 126720.

The previous prime is 390647. The next prime is 390653. The reversal of 390648 is 846093.

It is a super-3 number, since 3×390648³ = 178845521879333376, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390648.

It is not an unprimeable number, because it can be changed into a prime (390647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786 + ... + 1182.

2³⁹⁰⁶⁴⁸ 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 390648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501480).

390648 is an abundant number, since it is smaller than the sum of its proper divisors (612312).

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

390648 is a wasteful number, since it uses less digits than its factorization.

390648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 390648 is about 625.0183997292. The cubic root of 390648 is about 73.1018781452.

The spelling of 390648 in words is "three hundred ninety thousand, six hundred forty-eight".