258087648 has 192 divisors, whose sum is σ = 861622272. Its totient is φ = 65802240.

The previous prime is 258087619. The next prime is 258087649. The reversal of 258087648 is 846780852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 258087597 and 258087606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258087649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270340 + ... + 271292.

It is an arithmetic number, because the mean of its divisors is an integer number (4487616).

Almost surely, 2^258087648 is an apocalyptic number.

258087648 is a gapful number since it is divisible by the number (28) 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 258087648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430811136).

258087648 is an abundant number, since it is smaller than the sum of its proper divisors (603534624).

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

258087648 is a wasteful number, since it uses less digits than its factorization.

258087648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 258087648 is about 16065.1065355945. The cubic root of 258087648 is about 636.6817577569.

The spelling of 258087648 in words is "two hundred fifty-eight million, eighty-seven thousand, six hundred forty-eight".