678906 has 12 divisors (see below), whose sum is σ = 1471002. Its totient is φ = 226296.

The previous prime is 678901. The next prime is 678907. The reversal of 678906 is 609876.

It can be written as a sum of positive squares in only one way, i.e., 370881 + 308025 = 609^2 + 555^2 .

It is not an unprimeable number, because it can be changed into a prime (678901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18841 + ... + 18876.

2⁶⁷⁸⁹⁰⁶ is an apocalyptic number.

678906 is an abundant number, since it is smaller than the sum of its proper divisors (792096).

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

678906 is a wasteful number, since it uses less digits than its factorization.

678906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37725 (or 37722 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 678906 is about 823.9575231770. The cubic root of 678906 is about 87.8894099773.

It can be divided in two parts, 67890 and 6, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 678906 in words is "six hundred seventy-eight thousand, nine hundred six".