679008 has 48 divisors (see below), whose sum is σ = 1947456. Its totient is φ = 205440.

The previous prime is 678989. The next prime is 679033. The reversal of 679008 is 800976.

It is a happy number.

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

It is a super-2 number, since 2×679008² = 922103728128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

679008 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 7 ways as a sum of consecutive naturals, for example, 735 + ... + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (40572).

2⁶⁷⁹⁰⁰⁸ 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 679008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973728).

679008 is an abundant number, since it is smaller than the sum of its proper divisors (1268448).

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

679008 is a wasteful number, since it uses less digits than its factorization.

679008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 679008 is about 824.0194172469. The cubic root of 679008 is about 87.8938113087.

The spelling of 679008 in words is "six hundred seventy-nine thousand, eight".