257088 has 56 divisors (see below), whose sum is σ = 739648. Its totient is φ = 78336.
The previous prime is 257077. The next prime is 257093. The reversal of 257088 is 880752.
257088 is nontrivially palindromic in base 14.
It is a nialpdrome in base 8.
It is a congruent number.
It is an unprimeable number.
257088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2445 + ... + 2547.
It is an arithmetic number, because the mean of its divisors is an integer number (13208).
2257088 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369824).
257088 is an abundant number, since it is smaller than the sum of its proper divisors (482560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257088 is a wasteful number, since it uses less digits than its factorization.
257088 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 131 (or 121 counting only the distinct ones).
The product of its (nonzero) digits is 4480, while the sum is 30.
The square root of 257088 is about 507.0384600797. The cubic root of 257088 is about 63.5858676720.
The spelling of 257088 in words is "two hundred fifty-seven thousand, eighty-eight".
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