648432 has 80 divisors (see below), whose sum is σ = 1984000. Its totient is φ = 202176.

The previous prime is 648391. The next prime is 648433. The reversal of 648432 is 234846.

648432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 648396 and 648405.

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 648432.

It is not an unprimeable number, because it can be changed into a prime (648433) by changing a digit.

648432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8169 + ... + 8247.

It is an arithmetic number, because the mean of its divisors is an integer number (24800).

2⁶⁴⁸⁴³² 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 648432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992000).

648432 is an abundant number, since it is smaller than the sum of its proper divisors (1335568).

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

648432 is a wasteful number, since it uses less digits than its factorization.

648432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 648432 is about 805.2527553508. The cubic root of 648432 is about 86.5541999410.

It can be divided in two parts, 648 and 432, that multiplied together give a 7-th power (279936 = 6⁷).

The spelling of 648432 in words is "six hundred forty-eight thousand, four hundred thirty-two".