679248 has 60 divisors (see below), whose sum is σ = 1958580. Its totient is φ = 219648.

The previous prime is 679229. The next prime is 679249. The reversal of 679248 is 842976.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 374544 = 552^2 + 612^2 .

It is a super-2 number, since 2×679248² = 922755691008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7588 + ... + 7676.

It is an arithmetic number, because the mean of its divisors is an integer number (32643).

2⁶⁷⁹²⁴⁸ 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 679248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979290).

679248 is an abundant number, since it is smaller than the sum of its proper divisors (1279332).

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

679248 is a wasteful number, since it uses less digits than its factorization.

679248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 679248 is about 824.1650320173. The cubic root of 679248 is about 87.9041656442.

The spelling of 679248 in words is "six hundred seventy-nine thousand, two hundred forty-eight".