84054000 has 80 divisors (see below), whose sum is σ = 271009440. Its totient is φ = 22412800.

The previous prime is 84053993. The next prime is 84054023. The reversal of 84054000 is 45048.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005 + ... + 13004.

It is an arithmetic number, because the mean of its divisors is an integer number (3387618).

Almost surely, 2^84054000 is an apocalyptic number.

84054000 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 84054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135504720).

84054000 is an abundant number, since it is smaller than the sum of its proper divisors (186955440).

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

84054000 is a wasteful number, since it uses less digits than its factorization.

84054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035 (or 14019 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 84054000 is about 9168.0968581271. The cubic root of 84054000 is about 438.0457407246.

Adding to 84054000 its reverse (45048), we get a palindrome (84099048).

The spelling of 84054000 in words is "eighty-four million, fifty-four thousand".