820918848 has 112 divisors (see below), whose sum is σ = 2353665600. Its totient is φ = 251510784.

The previous prime is 820918841. The next prime is 820918853. The reversal of 820918848 is 848819028.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 820918797 and 820918806.

It is not an unprimeable number, because it can be changed into a prime (820918841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137428 + ... + 143276.

Almost surely, 2^820918848 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 820918848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176832800).

820918848 is an abundant number, since it is smaller than the sum of its proper divisors (1532746752).

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

820918848 is a wasteful number, since it uses less digits than its factorization.

820918848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 820918848 is about 28651.6814166289. The cubic root of 820918848 is about 936.3396385958.

820918848 divided by its sum of digits (48) gives a triangular number (17102476 = T₅₈₄₈).

The spelling of 820918848 in words is "eight hundred twenty million, nine hundred eighteen thousand, eight hundred forty-eight".