291648 has 84 divisors (see below), whose sum is σ = 926592. Its totient is φ = 80640.

The previous prime is 291647. The next prime is 291649. The reversal of 291648 is 846192.

It is an interprime number because it is at equal distance from previous prime (291647) and next prime (291649).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (291647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9393 + ... + 9423.

2²⁹¹⁶⁴⁸ is an apocalyptic number.

291648 is a gapful number since it is divisible by the number (28) 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 291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463296).

291648 is an abundant number, since it is smaller than the sum of its proper divisors (634944).

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

291648 is a wasteful number, since it uses less digits than its factorization.

291648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 43 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 291648 is about 540.0444426156. The cubic root of 291648 is about 66.3162053255.

It can be divided in two parts, 291 and 648, that added together give a palindrome (939).

The spelling of 291648 in words is "two hundred ninety-one thousand, six hundred forty-eight".