258535680 has 144 divisors (see below), whose sum is σ = 889385280. Its totient is φ = 63627264.

The previous prime is 258535657. The next prime is 258535681. The reversal of 258535680 is 86535852.

It is not an unprimeable number, because it can be changed into a prime (258535681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47331 + ... + 52509.

Almost surely, 2^258535680 is an apocalyptic number.

258535680 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 258535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444692640).

258535680 is an abundant number, since it is smaller than the sum of its proper divisors (630849600).

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

258535680 is a wasteful number, since it uses less digits than its factorization.

258535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 258535680 is about 16079.0447477454. The cubic root of 258535680 is about 637.0499645768.

The spelling of 258535680 in words is "two hundred fifty-eight million, five hundred thirty-five thousand, six hundred eighty".