258123680 has 48 divisors (see below), whose sum is σ = 615893544. Its totient is φ = 102220800.

The previous prime is 258123667. The next prime is 258123713. The reversal of 258123680 is 86321852.

258123680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 257666704 + 456976 = 16052^2 + 676^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 258123680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8174 + ... + 24146.

Almost surely, 2^258123680 is an apocalyptic number.

258123680 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 258123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307946772).

258123680 is an abundant number, since it is smaller than the sum of its proper divisors (357769864).

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

258123680 is a wasteful number, since it uses less digits than its factorization.

258123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16089 (or 16081 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 258123680 is about 16066.2279331522. The cubic root of 258123680 is about 636.7113857402.

It can be divided in two parts, 25812 and 3680, that added together give a palindrome (29492).

The spelling of 258123680 in words is "two hundred fifty-eight million, one hundred twenty-three thousand, six hundred eighty".