84855848 has 72 divisors (see below), whose sum is σ = 203549850. Its totient is φ = 33042240.

The previous prime is 84855847. The next prime is 84855851.

It is a happy number.

84855848 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 52388644 + 32467204 = 7238^2 + 5698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84855796 and 84855805.

It is not an unprimeable number, because it can be changed into a prime (84855847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46538 + ... + 48326.

Almost surely, 2^84855848 is an apocalyptic number.

84855848 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 84855848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101774925).

84855848 is an abundant number, since it is smaller than the sum of its proper divisors (118694002).

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

84855848 is a wasteful number, since it uses less digits than its factorization.

84855848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1809 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 50.

The square root of 84855848 is about 9211.7234001027. The cubic root of 84855848 is about 439.4342729319.

The spelling of 84855848 in words is "eighty-four million, eight hundred fifty-five thousand, eight hundred forty-eight".