820848 has 60 divisors (see below), whose sum is σ = 2473800. Its totient is φ = 233856.

The previous prime is 820837. The next prime is 820873. The reversal of 820848 is 848028.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

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, 2178 + ... + 2526.

It is an arithmetic number, because the mean of its divisors is an integer number (41230).

2⁸²⁰⁸⁴⁸ 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 820848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236900).

820848 is an abundant number, since it is smaller than the sum of its proper divisors (1652952).

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

820848 is a wasteful number, since it uses less digits than its factorization.

820848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 820848 is about 906.0066224924. The cubic root of 820848 is about 93.6312701423.

It can be divided in two parts, 8208 and 48, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 820848 in words is "eight hundred twenty thousand, eight hundred forty-eight".