258006960 has 240 divisors, whose sum is σ = 930717216. Its totient is φ = 63823872.

The previous prime is 258006949. The next prime is 258006961. The reversal of 258006960 is 69600852.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258006961) 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, 1309582 + ... + 1309778.

Almost surely, 2^258006960 is an apocalyptic number.

258006960 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 258006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465358608).

258006960 is an abundant number, since it is smaller than the sum of its proper divisors (672710256).

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

258006960 is a wasteful number, since it uses less digits than its factorization.

258006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 258006960 is about 16062.5950580845. The cubic root of 258006960 is about 636.6154005423.

The spelling of 258006960 in words is "two hundred fifty-eight million, six thousand, nine hundred sixty".