866880960 has 224 divisors, whose sum is σ = 3035515392. Its totient is φ = 207851520.

The previous prime is 866880901. The next prime is 866880991. The reversal of 866880960 is 69088668.

866880960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1087282 + ... + 1088078.

It is an arithmetic number, because the mean of its divisors is an integer number (13551408).

Almost surely, 2^866880960 is an apocalyptic number.

866880960 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 866880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517757696).

866880960 is an abundant number, since it is smaller than the sum of its proper divisors (2168634432).

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

866880960 is a wasteful number, since it uses less digits than its factorization.

866880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 866880960 is about 29442.8422541031. The cubic root of 866880960 is about 953.4980768429.

The spelling of 866880960 in words is "eight hundred sixty-six million, eight hundred eighty thousand, nine hundred sixty".