257167640 has 16 divisors (see below), whose sum is σ = 578627280. Its totient is φ = 102867040.

The previous prime is 257167637. The next prime is 257167657. The reversal of 257167640 is 46761752.

It is a super-2 number, since 2×257167640² = 132270390126339200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257167594 and 257167603.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 3214556 + ... + 3214635.

It is an arithmetic number, because the mean of its divisors is an integer number (36164205).

Almost surely, 2^257167640 is an apocalyptic number.

257167640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257167640 is an abundant number, since it is smaller than the sum of its proper divisors (321459640).

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

257167640 is a wasteful number, since it uses less digits than its factorization.

257167640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429202 (or 6429198 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 257167640 is about 16036.4472374650. The cubic root of 257167640 is about 635.9243281143.

The spelling of 257167640 in words is "two hundred fifty-seven million, one hundred sixty-seven thousand, six hundred forty".