84221400 has 192 divisors, whose sum is σ = 289267200. Its totient is φ = 20162560.

The previous prime is 84221393. The next prime is 84221429. The reversal of 84221400 is 412248.

It is a congruent number.

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, 234421 + ... + 234779.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 2^84221400 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 84221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

84221400 is an abundant number, since it is smaller than the sum of its proper divisors (205045800).

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

84221400 is a wasteful number, since it uses less digits than its factorization.

84221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

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

The square root of 84221400 is about 9177.2218018309. The cubic root of 84221400 is about 438.3363484719.

Adding to 84221400 its reverse (412248), we get a palindrome (84633648).

The spelling of 84221400 in words is "eighty-four million, two hundred twenty-one thousand, four hundred".