879648 has 144 divisors (see below), whose sum is σ = 3102624. Its totient is φ = 215040.

The previous prime is 879629. The next prime is 879649. The reversal of 879648 is 846978.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51736 + ... + 51752.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2⁸⁷⁹⁶⁴⁸ is an apocalyptic number.

879648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551312).

879648 is an abundant number, since it is smaller than the sum of its proper divisors (2222976).

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

879648 is a wasteful number, since it uses less digits than its factorization.

879648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 879648 is about 937.8955165689. The cubic root of 879648 is about 95.8156183176.

The spelling of 879648 in words is "eight hundred seventy-nine thousand, six hundred forty-eight".