84324000 has 96 divisors (see below), whose sum is σ = 276284736. Its totient is φ = 22483200.

The previous prime is 84323971. The next prime is 84324011. The reversal of 84324000 is 42348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84324000² = 14221073952000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 8487 + ... + 15513.

It is an arithmetic number, because the mean of its divisors is an integer number (2877966).

Almost surely, 2^84324000 is an apocalyptic number.

84324000 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 84324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138142368).

84324000 is an abundant number, since it is smaller than the sum of its proper divisors (191960736).

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

84324000 is a wasteful number, since it uses less digits than its factorization.

84324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 84324000 is about 9182.8100274371. The cubic root of 84324000 is about 438.5142726071.

Adding to 84324000 its reverse (42348), we get a palindrome (84366348).

The spelling of 84324000 in words is "eighty-four million, three hundred twenty-four thousand".