257006160 has 120 divisors (see below), whose sum is σ = 908587680. Its totient is φ = 64924416.

The previous prime is 257006159. The next prime is 257006161. The reversal of 257006160 is 61600752.

It is an interprime number because it is at equal distance from previous prime (257006159) and next prime (257006161).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257006161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4287 + ... + 23073.

It is an arithmetic number, because the mean of its divisors is an integer number (7571564).

Almost surely, 2^257006160 is an apocalyptic number.

257006160 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 257006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454293840).

257006160 is an abundant number, since it is smaller than the sum of its proper divisors (651581520).

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

257006160 is a wasteful number, since it uses less digits than its factorization.

257006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18825 (or 18816 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 257006160 is about 16031.4116658515. The cubic root of 257006160 is about 635.7911976248.

The spelling of 257006160 in words is "two hundred fifty-seven million, six thousand, one hundred sixty".