891080168 has 64 divisors (see below), whose sum is σ = 1930590720. Its totient is φ = 381585600.

The previous prime is 891080167. The next prime is 891080173. The reversal of 891080168 is 861080198.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

891080168 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (891080167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132323 + ... + 138893.

It is an arithmetic number, because the mean of its divisors is an integer number (30165480).

Almost surely, 2^891080168 is an apocalyptic number.

891080168 is a gapful number since it is divisible by the number (88) 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 891080168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965295360).

891080168 is an abundant number, since it is smaller than the sum of its proper divisors (1039510552).

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

891080168 is a wasteful number, since it uses less digits than its factorization.

891080168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 891080168 is about 29850.9659475200. The cubic root of 891080168 is about 962.2891580224.

The spelling of 891080168 in words is "eight hundred ninety-one million, eighty thousand, one hundred sixty-eight".