84044020 has 48 divisors (see below), whose sum is σ = 182805840. Its totient is φ = 32431104.

The previous prime is 84044003. The next prime is 84044029. The reversal of 84044020 is 2044048.

It can be written as a sum of positive squares in 8 ways, for example, as 4691556 + 79352464 = 2166^2 + 8908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84043982 and 84044000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84044029) 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 15 ways as a sum of consecutive naturals, for example, 100966 + ... + 101794.

It is an arithmetic number, because the mean of its divisors is an integer number (3808455).

Almost surely, 2^84044020 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 84044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91402920).

84044020 is an abundant number, since it is smaller than the sum of its proper divisors (98761820).

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

84044020 is a wasteful number, since it uses less digits than its factorization.

84044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 84044020 is about 9167.5525632526. The cubic root of 84044020 is about 438.0284031816.

Adding to 84044020 its reverse (2044048), we get a palindrome (86088068).

The spelling of 84044020 in words is "eighty-four million, forty-four thousand, twenty".