258140064 has 144 divisors (see below), whose sum is σ = 838942272. Its totient is φ = 68050944.

The previous prime is 258140041. The next prime is 258140081. The reversal of 258140064 is 460041852.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112432 + ... + 114704.

It is an arithmetic number, because the mean of its divisors is an integer number (5825988).

Almost surely, 2^258140064 is an apocalyptic number.

258140064 is a gapful number since it is divisible by the number (24) 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 258140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419471136).

258140064 is an abundant number, since it is smaller than the sum of its proper divisors (580802208).

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

258140064 is a wasteful number, since it uses less digits than its factorization.

258140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 258140064 is about 16066.7378145036. The cubic root of 258140064 is about 636.7248568775.

The spelling of 258140064 in words is "two hundred fifty-eight million, one hundred forty thousand, sixty-four".