654432 has 48 divisors (see below), whose sum is σ = 1823472. Its totient is φ = 204800.

The previous prime is 654427. The next prime is 654439. The reversal of 654432 is 234456.

654432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a d-powerful number, because it can be written as 6⁶ + 5⁷ + 4⁵ + 4⁶ + 3⁵ + 2¹⁹ .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654439) 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, 1432 + ... + 1832.

It is an arithmetic number, because the mean of its divisors is an integer number (37989).

2⁶⁵⁴⁴³² 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 654432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911736).

654432 is an abundant number, since it is smaller than the sum of its proper divisors (1169040).

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

654432 is a wasteful number, since it uses less digits than its factorization.

654432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 654432 is about 808.9697151315. The cubic root of 654432 is about 86.8203453480.

Adding to 654432 its sum of digits (24), we get a palindrome (654456).

Adding to 654432 its reverse (234456), we get a palindrome (888888).

The spelling of 654432 in words is "six hundred fifty-four thousand, four hundred thirty-two".