648384 has 56 divisors (see below), whose sum is σ = 1877568. Its totient is φ = 195840.

The previous prime is 648383. The next prime is 648391. The reversal of 648384 is 483846.

It is a super-2 number, since 2×648384² = 840803622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 648384.

It is not an unprimeable number, because it can be changed into a prime (648383) 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, 1959 + ... + 2265.

It is an arithmetic number, because the mean of its divisors is an integer number (33528).

2⁶⁴⁸³⁸⁴ is an apocalyptic number.

648384 is a gapful number since it is divisible by the number (64) 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 648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938784).

648384 is an abundant number, since it is smaller than the sum of its proper divisors (1229184).

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

648384 is a wasteful number, since it uses less digits than its factorization.

648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 648384 is about 805.2229504926. Note that the first 3 decimals coincide. The cubic root of 648384 is about 86.5520641713.

It can be divided in two parts, 648 and 384, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 648384 in words is "six hundred forty-eight thousand, three hundred eighty-four".