809248 has 48 divisors (see below), whose sum is σ = 1844640. Its totient is φ = 348480.

The previous prime is 809243. The next prime is 809261. The reversal of 809248 is 842908.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (809243) by changing a digit.

809248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 42583 + ... + 42601.

It is an arithmetic number, because the mean of its divisors is an integer number (38430).

2⁸⁰⁹²⁴⁸ is an apocalyptic number.

809248 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 809248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922320).

809248 is an abundant number, since it is smaller than the sum of its proper divisors (1035392).

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

809248 is a wasteful number, since it uses less digits than its factorization.

809248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 809248 is about 899.5821252115. The cubic root of 809248 is about 93.1881188536.

The spelling of 809248 in words is "eight hundred nine thousand, two hundred forty-eight".