891942912 has 288 divisors, whose sum is σ = 3052707840. Its totient is φ = 245514240.

The previous prime is 891942907. The next prime is 891942929. The reversal of 891942912 is 219249198.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999633 + ... + 3999855.

It is an arithmetic number, because the mean of its divisors is an integer number (10599680).

Almost surely, 2^891942912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 891942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526353920).

891942912 is an abundant number, since it is smaller than the sum of its proper divisors (2160764928).

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

891942912 is a wasteful number, since it uses less digits than its factorization.

891942912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 266 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 891942912 is about 29865.4133070346. The cubic root of 891942912 is about 962.5996207001.

The spelling of 891942912 in words is "eight hundred ninety-one million, nine hundred forty-two thousand, nine hundred twelve".