258648 has 32 divisors (see below), whose sum is σ = 697200. Its totient is φ = 79488.

The previous prime is 258637. The next prime is 258659. The reversal of 258648 is 846852.

It is an interprime number because it is at equal distance from previous prime (258637) and next prime (258659).

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 258648.

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, 103 + ... + 726.

2²⁵⁸⁶⁴⁸ 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 258648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348600).

258648 is an abundant number, since it is smaller than the sum of its proper divisors (438552).

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

258648 is a wasteful number, since it uses less digits than its factorization.

258648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 258648 is about 508.5744783215. The cubic root of 258648 is about 63.7142205994.

The spelling of 258648 in words is "two hundred fifty-eight thousand, six hundred forty-eight".