891968000 has 320 divisors, whose sum is σ = 2788321536. Its totient is φ = 276480000.

The previous prime is 891967987. The next prime is 891968003. The reversal of 891968000 is 869198.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891968003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927910 + ... + 4928090.

Almost surely, 2^891968000 is an apocalyptic number.

891968000 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 891968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394160768).

891968000 is an abundant number, since it is smaller than the sum of its proper divisors (1896353536).

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

891968000 is a wasteful number, since it uses less digits than its factorization.

891968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 891968000 is about 29865.8333217073. The cubic root of 891968000 is about 962.6086457444.

The spelling of 891968000 in words is "eight hundred ninety-one million, nine hundred sixty-eight thousand".