891648 has 90 divisors (see below), whose sum is σ = 2720564. Its totient is φ = 290304.

The previous prime is 891647. The next prime is 891659. The reversal of 891648 is 846198.

It is a happy number.

891648 is a `hidden beast` number, since 8 + 9 + 1 + 648 = 666.

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

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

It is an Ulam number.

Its product of digits (13824) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (891643) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20715 + ... + 20757.

2⁸⁹¹⁶⁴⁸ 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 891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360282).

891648 is an abundant number, since it is smaller than the sum of its proper divisors (1828916).

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

891648 is an equidigital number, since it uses as much as digits as its factorization.

891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 891648 is about 944.2711474995. The cubic root of 891648 is about 96.2493517694.

The spelling of 891648 in words is "eight hundred ninety-one thousand, six hundred forty-eight".