257066112 has 128 divisors (see below), whose sum is σ = 737631360. Its totient is φ = 79020032.

The previous prime is 257066107. The next prime is 257066113. The reversal of 257066112 is 211660752.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 257066112.

It is not an unprimeable number, because it can be changed into a prime (257066113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345613 + ... + 346355.

It is an arithmetic number, because the mean of its divisors is an integer number (5762745).

Almost surely, 2^257066112 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 257066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368815680).

257066112 is an abundant number, since it is smaller than the sum of its proper divisors (480565248).

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

257066112 is a wasteful number, since it uses less digits than its factorization.

257066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 257066112 is about 16033.2813859172. The cubic root of 257066112 is about 635.8406309281.

The spelling of 257066112 in words is "two hundred fifty-seven million, sixty-six thousand, one hundred twelve".