84044100 has 144 divisors (see below), whose sum is σ = 287092736. Its totient is φ = 18576000.

The previous prime is 84044099. The next prime is 84044159. The reversal of 84044100 is 144048.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64455 + ... + 65745.

Almost surely, 2^84044100 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 84044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143546368).

84044100 is an abundant number, since it is smaller than the sum of its proper divisors (203048636).

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

84044100 is a wasteful number, since it uses less digits than its factorization.

84044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 84044100 is about 9167.5569264663. The cubic root of 84044100 is about 438.0285421654.

Adding to 84044100 its reverse (144048), we get a palindrome (84188148).

The spelling of 84044100 in words is "eighty-four million, forty-four thousand, one hundred".