258056064 has 128 divisors (see below), whose sum is σ = 870508800. Its totient is φ = 73723392.

The previous prime is 258056063. The next prime is 258056129. The reversal of 258056064 is 460650852.

258056064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 (258056063) 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, 18859 + ... + 29525.

It is an arithmetic number, because the mean of its divisors is an integer number (6800850).

Almost surely, 2^258056064 is an apocalyptic number.

258056064 is a gapful number since it is divisible by the number (24) 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 258056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435254400).

258056064 is an abundant number, since it is smaller than the sum of its proper divisors (612452736).

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

258056064 is a wasteful number, since it uses less digits than its factorization.

258056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10697 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 258056064 is about 16064.1235055013. The cubic root of 258056064 is about 636.6557849564.

The spelling of 258056064 in words is "two hundred fifty-eight million, fifty-six thousand, sixty-four".