258320664 has 192 divisors, whose sum is σ = 851235840. Its totient is φ = 71850240.

The previous prime is 258320663. The next prime is 258320669. The reversal of 258320664 is 466023852.

258320664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (258320663) 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, 557697 + ... + 558159.

It is an arithmetic number, because the mean of its divisors is an integer number (4433520).

Almost surely, 2^258320664 is an apocalyptic number.

258320664 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 258320664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425617920).

258320664 is an abundant number, since it is smaller than the sum of its proper divisors (592915176).

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

258320664 is a wasteful number, since it uses less digits than its factorization.

258320664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 258320664 is about 16072.3571388891. The cubic root of 258320664 is about 636.8733107837.

The spelling of 258320664 in words is "two hundred fifty-eight million, three hundred twenty thousand, six hundred sixty-four".