258195680 has 48 divisors (see below), whose sum is σ = 614491920. Its totient is φ = 102515712.

The previous prime is 258195673. The next prime is 258195709. The reversal of 258195680 is 86591852.

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 7 ways as a sum of consecutive naturals, for example, 16031 + ... + 27809.

It is an arithmetic number, because the mean of its divisors is an integer number (12801915).

Almost surely, 2^258195680 is an apocalyptic number.

258195680 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 258195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307245960).

258195680 is an abundant number, since it is smaller than the sum of its proper divisors (356296240).

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

258195680 is a wasteful number, since it uses less digits than its factorization.

258195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11931 (or 11923 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The square root of 258195680 is about 16068.4685020073. The cubic root of 258195680 is about 636.7705808232.

The spelling of 258195680 in words is "two hundred fifty-eight million, one hundred ninety-five thousand, six hundred eighty".