84894000 has 80 divisors (see below), whose sum is σ = 273717600. Its totient is φ = 22636800.

The previous prime is 84893999. The next prime is 84894011. The reversal of 84894000 is 49848.

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

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, 1075 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (3421470).

Almost surely, 2^84894000 is an apocalyptic number.

84894000 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 84894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136858800).

84894000 is an abundant number, since it is smaller than the sum of its proper divisors (188823600).

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

84894000 is a wasteful number, since it uses less digits than its factorization.

84894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14159 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 84894000 is about 9213.7940068139. The cubic root of 84894000 is about 439.5001210135.

The spelling of 84894000 in words is "eighty-four million, eight hundred ninety-four thousand".