84049200 has 180 divisors, whose sum is σ = 300031888. Its totient is φ = 21772800.

The previous prime is 84049187. The next prime is 84049201. The reversal of 84049200 is 294048.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (84049201) 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 35 ways as a sum of consecutive naturals, for example, 132885 + ... + 133515.

Almost surely, 2^84049200 is an apocalyptic number.

84049200 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 84049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150015944).

84049200 is an abundant number, since it is smaller than the sum of its proper divisors (215982688).

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

84049200 is a wasteful number, since it uses less digits than its factorization.

84049200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 84049200 is about 9167.8350770506. The cubic root of 84049200 is about 438.0374021979.

The spelling of 84049200 in words is "eighty-four million, forty-nine thousand, two hundred".