257127696 has 150 divisors (see below), whose sum is σ = 865918350. Its totient is φ = 73446912.

The previous prime is 257127653. The next prime is 257127713. The reversal of 257127696 is 696721752.

257127696 is a `hidden beast` number, since 2 + 571 + 2 + 76 + 9 + 6 = 666.

257127696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 192099600 + 65028096 = 13860^2 + 8064^2 .

It is a super-2 number, since 2×257127696² = 132229304100536832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61480 + ... + 65528.

It is an arithmetic number, because the mean of its divisors is an integer number (5772789).

Almost surely, 2^257127696 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 257127696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432959175).

257127696 is an abundant number, since it is smaller than the sum of its proper divisors (608790654).

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

257127696 is a wasteful number, since it uses less digits than its factorization.

257127696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4061 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 257127696 is about 16035.2017760925. The cubic root of 257127696 is about 635.8914018921.

The spelling of 257127696 in words is "two hundred fifty-seven million, one hundred twenty-seven thousand, six hundred ninety-six".