855168000 has 352 divisors, whose sum is σ = 3034931328. Its totient is φ = 212992000.

The previous prime is 855167993. The next prime is 855168023. The reversal of 855168000 is 861558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6527935 + ... + 6528065.

It is an arithmetic number, because the mean of its divisors is an integer number (8621964).

Almost surely, 2^855168000 is an apocalyptic number.

855168000 is a gapful number since it is divisible by the number (80) 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 855168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517465664).

855168000 is an abundant number, since it is smaller than the sum of its proper divisors (2179763328).

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

855168000 is a wasteful number, since it uses less digits than its factorization.

855168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 855168000 is about 29243.2556327096. The cubic root of 855168000 is about 949.1841564473.

The spelling of 855168000 in words is "eight hundred fifty-five million, one hundred sixty-eight thousand".