257076 has 36 divisors (see below), whose sum is σ = 670852. Its totient is φ = 82944.

The previous prime is 257069. The next prime is 257077. The reversal of 257076 is 670752.

It can be written as a sum of positive squares in 2 ways, for example, as 152100 + 104976 = 390^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1236 + ... + 1428.

2²⁵⁷⁰⁷⁶ 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 257076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335426).

257076 is an abundant number, since it is smaller than the sum of its proper divisors (413776).

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

257076 is a wasteful number, since it uses less digits than its factorization.

257076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 257076 is about 507.0266265198. The cubic root of 257076 is about 63.5848783321.

Subtracting from 257076 its sum of digits (27), we obtain a square (257049 = 507²).

The spelling of 257076 in words is "two hundred fifty-seven thousand, seventy-six".