90848 has 24 divisors (see below), whose sum is σ = 190512. Its totient is φ = 42496.

The previous prime is 90847. The next prime is 90863. The reversal of 90848 is 84809.

It is a self number, because there is not a number n which added to its sum of digits gives 90848.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90848.

It is not an unprimeable number, because it can be changed into a prime (90841) 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 3 ways as a sum of consecutive naturals, for example, 461 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2⁹⁰⁸⁴⁸ 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 90848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256).

90848 is an abundant number, since it is smaller than the sum of its proper divisors (99664).

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

90848 is a wasteful number, since it uses less digits than its factorization.

90848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 90848 is about 301.4100197406. The cubic root of 90848 is about 44.9543570127.

The spelling of 90848 in words is "ninety thousand, eight hundred forty-eight".