658880 has 56 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 250880.

The previous prime is 658873. The next prime is 658883. The reversal of 658880 is 88856.

It is a self number, because there is not a number n which added to its sum of digits gives 658880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (658883) by changing a digit.

658880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9245 + ... + 9315.

2⁶⁵⁸⁸⁸⁰ 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 658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

658880 is an abundant number, since it is smaller than the sum of its proper divisors (987040).

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

658880 is a wasteful number, since it uses less digits than its factorization.

658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 658880 is about 811.7142354302. The cubic root of 658880 is about 87.0165996423.

The spelling of 658880 in words is "six hundred fifty-eight thousand, eight hundred eighty".