84204000 has 144 divisors (see below), whose sum is σ = 298967760. Its totient is φ = 22444800.

The previous prime is 84203993. The next prime is 84204011. The reversal of 84204000 is 40248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34831 + ... + 37169.

It is an arithmetic number, because the mean of its divisors is an integer number (2076165).

Almost surely, 2^84204000 is an apocalyptic number.

84204000 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 84204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149483880).

84204000 is an abundant number, since it is smaller than the sum of its proper divisors (214763760).

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

84204000 is a wasteful number, since it uses less digits than its factorization.

84204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 84204000 is about 9176.2737535451. The cubic root of 84204000 is about 438.3061598747.

Adding to 84204000 its reverse (40248), we get a palindrome (84244248).

The spelling of 84204000 in words is "eighty-four million, two hundred four thousand".