679392 has 72 divisors (see below), whose sum is σ = 2214576. Its totient is φ = 193536.

The previous prime is 679381. The next prime is 679403. The reversal of 679392 is 293976.

679392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (679381) and next prime (679403).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6² + 7⁵ + 3³ + 9 + 9⁶ + 2¹⁷ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 679392.

It is an unprimeable number.

679392 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 11 ways as a sum of consecutive naturals, for example, 1848 + ... + 2184.

It is an arithmetic number, because the mean of its divisors is an integer number (30758).

2⁶⁷⁹³⁹² 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 679392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107288).

679392 is an abundant number, since it is smaller than the sum of its proper divisors (1535184).

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

679392 is a wasteful number, since it uses less digits than its factorization.

679392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 679392 is about 824.2523885316. The cubic root of 679392 is about 87.9103770748.

The spelling of 679392 in words is "six hundred seventy-nine thousand, three hundred ninety-two".