678432 has 48 divisors (see below), whose sum is σ = 1838592. Its totient is φ = 218880.

The previous prime is 678421. The next prime is 678437. The reversal of 678432 is 234876.

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

It is a self number, because there is not a number n which added to its sum of digits gives 678432.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 678432.

It is not an unprimeable number, because it can be changed into a prime (678437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3457 + ... + 3647.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁶⁷⁸⁴³² 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 678432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296).

678432 is an abundant number, since it is smaller than the sum of its proper divisors (1160160).

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

678432 is a wasteful number, since it uses less digits than its factorization.

678432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 678432 is about 823.6698367671. The cubic root of 678432 is about 87.8689509449.

Subtracting from 678432 its reverse (234876), we obtain a square (443556 = 666²).

The spelling of 678432 in words is "six hundred seventy-eight thousand, four hundred thirty-two".