891968 has 56 divisors (see below), whose sum is σ = 2218944. Its totient is φ = 345600.

The previous prime is 891967. The next prime is 891983. The reversal of 891968 is 869198.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (891967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4838 + ... + 5018.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2⁸⁹¹⁹⁶⁸ is an apocalyptic number.

891968 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 891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109472).

891968 is an abundant number, since it is smaller than the sum of its proper divisors (1326976).

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

891968 is a wasteful number, since it uses less digits than its factorization.

891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

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

The square root of 891968 is about 944.4405751555. The cubic root of 891968 is about 96.2608645744.

The spelling of 891968 in words is "eight hundred ninety-one thousand, nine hundred sixty-eight".