84944000 has 64 divisors (see below), whose sum is σ = 211231800. Its totient is φ = 33971200.

The previous prime is 84943949. The next prime is 84944009. The reversal of 84944000 is 44948.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 81288256 = 1912^2 + 9016^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (84944009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13346 + ... + 18654.

Almost surely, 2^84944000 is an apocalyptic number.

84944000 is a gapful number since it is divisible by the number (80) 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 84944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105615900).

84944000 is an abundant number, since it is smaller than the sum of its proper divisors (126287800).

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

84944000 is an equidigital number, since it uses as much as digits as its factorization.

84944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 84944000 is about 9216.5069305025. The cubic root of 84944000 is about 439.5863881751.

Adding to 84944000 its reverse (44948), we get a palindrome (84988948).

The spelling of 84944000 in words is "eighty-four million, nine hundred forty-four thousand".