879424 has 56 divisors (see below), whose sum is σ = 2162048. Its totient is φ = 345600.

The previous prime is 879413. The next prime is 879449. The reversal of 879424 is 424978.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 879424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5749 + ... + 5899.

It is an arithmetic number, because the mean of its divisors is an integer number (38608).

2⁸⁷⁹⁴²⁴ 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 879424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081024).

879424 is an abundant number, since it is smaller than the sum of its proper divisors (1282624).

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

879424 is a wasteful number, since it uses less digits than its factorization.

879424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 879424 is about 937.7760926788. The cubic root of 879424 is about 95.8074845639.

The spelling of 879424 in words is "eight hundred seventy-nine thousand, four hundred twenty-four".