881768160 has 384 divisors, whose sum is σ = 3800079360. Its totient is φ = 185960448.

The previous prime is 881768159. The next prime is 881768161. The reversal of 881768160 is 61867188.

881768160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (881768159) and next prime (881768161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (881768161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391999 + ... + 394241.

It is an arithmetic number, because the mean of its divisors is an integer number (9896040).

Almost surely, 2^881768160 is an apocalyptic number.

881768160 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 881768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900039680).

881768160 is an abundant number, since it is smaller than the sum of its proper divisors (2918311200).

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

881768160 is a wasteful number, since it uses less digits than its factorization.

881768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 881768160 is about 29694.5813238712. The cubic root of 881768160 is about 958.9253599789.

The spelling of 881768160 in words is "eight hundred eighty-one million, seven hundred sixty-eight thousand, one hundred sixty".