891012960 has 168 divisors, whose sum is σ = 3156496560. Its totient is φ = 237572352.

The previous prime is 891012937. The next prime is 891012989. The reversal of 891012960 is 69210198.

891012960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 112821 + ... + 120459.

It is an arithmetic number, because the mean of its divisors is an integer number (18788670).

Almost surely, 2^891012960 is an apocalyptic number.

891012960 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 891012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578248280).

891012960 is an abundant number, since it is smaller than the sum of its proper divisors (2265483600).

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

891012960 is an equidigital number, since it uses as much as digits as its factorization.

891012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 891012960 is about 29849.8402005773. The cubic root of 891012960 is about 962.2649644806.

The spelling of 891012960 in words is "eight hundred ninety-one million, twelve thousand, nine hundred sixty".