258327120 has 80 divisors (see below), whose sum is σ = 803162880. Its totient is φ = 68685312.

The previous prime is 258327109. The next prime is 258327137. The reversal of 258327120 is 21723852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91977 + ... + 94743.

It is an arithmetic number, because the mean of its divisors is an integer number (10039536).

Almost surely, 2^258327120 is an apocalyptic number.

258327120 is a gapful number since it is divisible by the number (20) 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 258327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401581440).

258327120 is an abundant number, since it is smaller than the sum of its proper divisors (544835760).

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

258327120 is a wasteful number, since it uses less digits than its factorization.

258327120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 258327120 is about 16072.5579793635. The cubic root of 258327120 is about 636.8786163598.

The spelling of 258327120 in words is "two hundred fifty-eight million, three hundred twenty-seven thousand, one hundred twenty".