258216 has 64 divisors (see below), whose sum is σ = 777600. Its totient is φ = 69888.

The previous prime is 258211. The next prime is 258233. The reversal of 258216 is 612852.

258216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 258216.

It is not an unprimeable number, because it can be changed into a prime (258211) by changing a digit.

258216 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 15 ways as a sum of consecutive naturals, for example, 4846 + ... + 4898.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2²⁵⁸²¹⁶ 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 258216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

258216 is an abundant number, since it is smaller than the sum of its proper divisors (519384).

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

258216 is a wasteful number, since it uses less digits than its factorization.

258216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 258216 is about 508.1495842761. The cubic root of 258216 is about 63.6787285000.

It can be divided in two parts, 258 and 216, that added together give a palindrome (474).

The spelling of 258216 in words is "two hundred fifty-eight thousand, two hundred sixteen".