257620 has 24 divisors (see below), whose sum is σ = 590688. Its totient is φ = 93600.

The previous prime is 257611. The next prime is 257627. The reversal of 257620 is 26752.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 257591 and 257600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257627) by changing a digit.

257620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366 + ... + 805.

It is an arithmetic number, because the mean of its divisors is an integer number (24612).

2²⁵⁷⁶²⁰ is an apocalyptic number.

257620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257620 is an abundant number, since it is smaller than the sum of its proper divisors (333068).

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

257620 is a wasteful number, since it uses less digits than its factorization.

257620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 257620 is about 507.5628039957. The cubic root of 257620 is about 63.6296975083.

The spelling of 257620 in words is "two hundred fifty-seven thousand, six hundred twenty".