84211200 has 360 divisors, whose sum is σ = 326517048. Its totient is φ = 20643840.

The previous prime is 84211187. The next prime is 84211201. The reversal of 84211200 is 211248.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84211201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1958379 + ... + 1958421.

Almost surely, 2^84211200 is an apocalyptic number.

84211200 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 84211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163258524).

84211200 is an abundant number, since it is smaller than the sum of its proper divisors (242305848).

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

84211200 is a wasteful number, since it uses less digits than its factorization.

84211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 84211200 is about 9176.6660612665. Note that the first 3 decimals coincide. The cubic root of 84211200 is about 438.3186522124.

Adding to 84211200 its reverse (211248), we get a palindrome (84422448).

The spelling of 84211200 in words is "eighty-four million, two hundred eleven thousand, two hundred".