678592 has 28 divisors (see below), whose sum is σ = 1408176. Its totient is φ = 323840.

The previous prime is 678581. The next prime is 678593. The reversal of 678592 is 295876.

678592 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (678593) by changing a digit.

678592 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 3 ways as a sum of consecutive naturals, for example, 1242 + ... + 1702.

It is an arithmetic number, because the mean of its divisors is an integer number (50292).

2⁶⁷⁸⁵⁹² 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 678592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704088).

678592 is an abundant number, since it is smaller than the sum of its proper divisors (729584).

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

678592 is a wasteful number, since it uses less digits than its factorization.

678592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 678592 is about 823.7669573368. The cubic root of 678592 is about 87.8758580126.

The spelling of 678592 in words is "six hundred seventy-eight thousand, five hundred ninety-two".