257064 has 16 divisors (see below), whose sum is σ = 642720. Its totient is φ = 85680.

The previous prime is 257053. The next prime is 257069. The reversal of 257064 is 460752.

It is a happy number.

257064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 10711 = 257064 / (2 + 5 + 7 + 0 + 6 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257064.

It is not an unprimeable number, because it can be changed into a prime (257069) by changing a digit.

257064 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 3 ways as a sum of consecutive naturals, for example, 5332 + ... + 5379.

It is an arithmetic number, because the mean of its divisors is an integer number (40170).

2²⁵⁷⁰⁶⁴ is an apocalyptic number.

257064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257064 is an abundant number, since it is smaller than the sum of its proper divisors (385656).

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

257064 is a wasteful number, since it uses less digits than its factorization.

257064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 257064 is about 507.0147926836. The cubic root of 257064 is about 63.5838889613.

The spelling of 257064 in words is "two hundred fifty-seven thousand, sixty-four".