257680120 has 16 divisors (see below), whose sum is σ = 579780360. Its totient is φ = 103072032.

The previous prime is 257680103. The next prime is 257680127. The reversal of 257680120 is 21086752.

It is a super-3 number, since 3×257680120³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257680127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3220962 + ... + 3221041.

Almost surely, 2^257680120 is an apocalyptic number.

257680120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257680120 is an abundant number, since it is smaller than the sum of its proper divisors (322100240).

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

257680120 is a wasteful number, since it uses less digits than its factorization.

257680120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442014 (or 6442010 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 257680120 is about 16052.4178864120. The cubic root of 257680120 is about 636.3464681330.

The spelling of 257680120 in words is "two hundred fifty-seven million, six hundred eighty thousand, one hundred twenty".