255168000 has 240 divisors, whose sum is σ = 921141936. Its totient is φ = 67891200.

The previous prime is 255167987. The next prime is 255168007. The reversal of 255168000 is 861552.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×255168000² = 130221416448000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255168007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575779 + ... + 576221.

Almost surely, 2^255168000 is an apocalyptic number.

255168000 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 255168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460570968).

255168000 is an abundant number, since it is smaller than the sum of its proper divisors (665973936).

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

255168000 is an equidigital number, since it uses as much as digits as its factorization.

255168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 255168000 is about 15973.9788406020. The cubic root of 255168000 is about 634.2718004531.

The spelling of 255168000 in words is "two hundred fifty-five million, one hundred sixty-eight thousand".