257840160 has 96 divisors (see below), whose sum is σ = 840248640. Its totient is φ = 66382848.

The previous prime is 257840159. The next prime is 257840171. The reversal of 257840160 is 61048752.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4659 + ... + 23181.

It is an arithmetic number, because the mean of its divisors is an integer number (8752590).

Almost surely, 2^257840160 is an apocalyptic number.

257840160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420124320).

257840160 is an abundant number, since it is smaller than the sum of its proper divisors (582408480).

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

257840160 is a wasteful number, since it uses less digits than its factorization.

257840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18570 (or 18562 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 257840160 is about 16057.4020314620. The cubic root of 257840160 is about 636.4781815823.

The spelling of 257840160 in words is "two hundred fifty-seven million, eight hundred forty thousand, one hundred sixty".