678032 has 20 divisors (see below), whose sum is σ = 1357056. Its totient is φ = 327840.

The previous prime is 678023. The next prime is 678037. The reversal of 678032 is 230876.

678032 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 677992 and 678010.

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 678032.

It is not an unprimeable number, because it can be changed into a prime (678037) by changing a digit.

678032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 188 + ... + 1179.

2⁶⁷⁸⁰³² is an apocalyptic number.

678032 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

678032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

678032 is a wasteful number, since it uses less digits than its factorization.

678032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 678032 is about 823.4269852270. The cubic root of 678032 is about 87.8516785235.

The spelling of 678032 in words is "six hundred seventy-eight thousand, thirty-two".