258565680 has 240 divisors, whose sum is σ = 938377440. Its totient is φ = 63590400.

The previous prime is 258565673. The next prime is 258565687. The reversal of 258565680 is 86565852.

258565680 is a `hidden beast` number, since 2 + 5 + 8 + 565 + 6 + 80 = 666.

258565680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258565673) and next prime (258565687).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (258565687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560650 + ... + 561110.

It is an arithmetic number, because the mean of its divisors is an integer number (3909906).

Almost surely, 2^258565680 is an apocalyptic number.

258565680 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 258565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469188720).

258565680 is an abundant number, since it is smaller than the sum of its proper divisors (679811760).

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

258565680 is a wasteful number, since it uses less digits than its factorization.

258565680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 258565680 is about 16079.9776119247. The cubic root of 258565680 is about 637.0746043219.

It can be divided in two parts, 2585 and 65680, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 258565680 in words is "two hundred fifty-eight million, five hundred sixty-five thousand, six hundred eighty".