258896560 has 80 divisors (see below), whose sum is σ = 654270624. Its totient is φ = 94703616.

The previous prime is 258896557. The next prime is 258896563. The reversal of 258896560 is 65698852.

It is an interprime number because it is at equal distance from previous prime (258896557) and next prime (258896563).

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

It is not an unprimeable number, because it can be changed into a prime (258896563) 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, 116419 + ... + 118621.

Almost surely, 2^258896560 is an apocalyptic number.

258896560 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 258896560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327135312).

258896560 is an abundant number, since it is smaller than the sum of its proper divisors (395374064).

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

258896560 is a wasteful number, since it uses less digits than its factorization.

258896560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The square root of 258896560 is about 16090.2628940611. The cubic root of 258896560 is about 637.3462379387.

The spelling of 258896560 in words is "two hundred fifty-eight million, eight hundred ninety-six thousand, five hundred sixty".