891738848 has 288 divisors, whose sum is σ = 2483133408. Its totient is φ = 309657600.

The previous prime is 891738847. The next prime is 891738853. The reversal of 891738848 is 848837198.

891738848 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 (56).

It is a junction number, because it is equal to n+sod(n) for n = 891738793 and 891738802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891738847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9193136 + ... + 9193232.

It is an arithmetic number, because the mean of its divisors is an integer number (8621991).

Almost surely, 2^891738848 is an apocalyptic number.

891738848 is a gapful number since it is divisible by the number (88) 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 891738848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241566704).

891738848 is an abundant number, since it is smaller than the sum of its proper divisors (1591394560).

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

891738848 is a wasteful number, since it uses less digits than its factorization.

891738848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 56.

The square root of 891738848 is about 29861.9967182370. The cubic root of 891738848 is about 962.5262053471.

The spelling of 891738848 in words is "eight hundred ninety-one million, seven hundred thirty-eight thousand, eight hundred forty-eight".