258064 has 15 divisors (see below), whose sum is σ = 503967. Its totient is φ = 128016.

The previous prime is 258061. The next prime is 258067. The reversal of 258064 is 460852.

The square root of 258064 is 508.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (258061) and next prime (258067).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258061) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 1969 + ... + 2095.

258064 is a Friedman number, since it can be written as (502+6)^(8/4), using all its digits and the basic arithmetic operations.

2²⁵⁸⁰⁶⁴ is an apocalyptic number.

258064 is the 508-th square number.

It is an amenable number.

258064 is a deficient number, since it is larger than the sum of its proper divisors (245903).

258064 is an equidigital number, since it uses as much as digits as its factorization.

258064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 258064 is about 63.6662311249. Note that the first 3 decimals are identical.

Multiplying 258064 by its sum of digits (25), we get a square (6451600 = 2540²).

The spelling of 258064 in words is "two hundred fifty-eight thousand, sixty-four".