258575616 has 216 divisors, whose sum is σ = 820277640. Its totient is φ = 77856768.

The previous prime is 258575567. The next prime is 258575621. The reversal of 258575616 is 616575852.

258575616 is a `hidden beast` number, since 2 + 5 + 85 + 7 + 561 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 258566400 = 96^2 + 16080^2 .

It is a super-2 number, since 2×258575616² = 133722698379558912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2665680 + ... + 2665776.

Almost surely, 2^258575616 is an apocalyptic number.

258575616 is a gapful number since it is divisible by the number (26) 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 258575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410138820).

258575616 is an abundant number, since it is smaller than the sum of its proper divisors (561702024).

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

258575616 is a wasteful number, since it uses less digits than its factorization.

258575616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 258575616 is about 16080.2865646107. The cubic root of 258575616 is about 637.0827645854.

The spelling of 258575616 in words is "two hundred fifty-eight million, five hundred seventy-five thousand, six hundred sixteen".