679616 has 56 divisors (see below), whose sum is σ = 1621536. Its totient is φ = 276480.

The previous prime is 679607. The next prime is 679633. The reversal of 679616 is 616976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

679616 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, 16556 + ... + 16596.

It is an arithmetic number, because the mean of its divisors is an integer number (28956).

679616 is a Friedman number, since it can be written as 6*6^7-(9+1)^6, using all its digits and the basic arithmetic operations.

2⁶⁷⁹⁶¹⁶ 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 679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810768).

679616 is an abundant number, since it is smaller than the sum of its proper divisors (941920).

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

679616 is a wasteful number, since it uses less digits than its factorization.

679616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 679616 is about 824.3882580435. The cubic root of 679616 is about 87.9200375558.

The spelling of 679616 in words is "six hundred seventy-nine thousand, six hundred sixteen".