9891648 has 84 divisors (see below), whose sum is σ = 30556708. Its totient is φ = 3041280.

The previous prime is 9891613. The next prime is 9891653. The reversal of 9891648 is 8461989.

9891648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 4359744 = 2352^2 + 2088^2 .

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 11 ways as a sum of consecutive naturals, for example, 6828 + ... + 8148.

Almost surely, 2^9891648 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 9891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15278354).

9891648 is an abundant number, since it is smaller than the sum of its proper divisors (20665060).

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

9891648 is a wasteful number, since it uses less digits than its factorization.

9891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1339 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 9891648 is about 3145.0990445453. The cubic root of 9891648 is about 214.6625172267.

The spelling of 9891648 in words is "nine million, eight hundred ninety-one thousand, six hundred forty-eight".