258077664 has 336 divisors, whose sum is σ = 879191712. Its totient is φ = 73903104.

The previous prime is 258077653. The next prime is 258077669. The reversal of 258077664 is 466770852.

258077664 is a `hidden beast` number, since 2 + 580 + 7 + 7 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258077669) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6975054 + ... + 6975090.

It is an arithmetic number, because the mean of its divisors is an integer number (2616642).

Almost surely, 2^258077664 is an apocalyptic number.

258077664 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 258077664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439595856).

258077664 is an abundant number, since it is smaller than the sum of its proper divisors (621114048).

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

258077664 is a wasteful number, since it uses less digits than its factorization.

258077664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 258077664 is about 16064.7957970215. The cubic root of 258077664 is about 636.6735477390.

The spelling of 258077664 in words is "two hundred fifty-eight million, seventy-seven thousand, six hundred sixty-four".