84824424 has 96 divisors (see below), whose sum is σ = 249954120. Its totient is φ = 25878528.

The previous prime is 84824419. The next prime is 84824447. The reversal of 84824424 is 42442848.

It can be written as a sum of positive squares in 4 ways, for example, as 76003524 + 8820900 = 8718^2 + 2970^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44352 + ... + 46224.

Almost surely, 2^84824424 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 84824424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124977060).

84824424 is an abundant number, since it is smaller than the sum of its proper divisors (165129696).

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

84824424 is a wasteful number, since it uses less digits than its factorization.

84824424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1932 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 84824424 is about 9210.0175895598. The cubic root of 84824424 is about 439.3800221532.

The spelling of 84824424 in words is "eighty-four million, eight hundred twenty-four thousand, four hundred twenty-four".