84444120 has 160 divisors (see below), whose sum is σ = 288802800. Its totient is φ = 22125312.

The previous prime is 84444097. The next prime is 84444121. The reversal of 84444120 is 2144448.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84444121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216886 + ... + 217274.

Almost surely, 2^84444120 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 84444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144401400).

84444120 is an abundant number, since it is smaller than the sum of its proper divisors (204358680).

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

84444120 is a wasteful number, since it uses less digits than its factorization.

84444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 84444120 is about 9189.3481814544. The cubic root of 84444120 is about 438.7223958088.

Adding to 84444120 its reverse (2144448), we get a palindrome (86588568).

The spelling of 84444120 in words is "eighty-four million, four hundred forty-four thousand, one hundred twenty".