84466000 has 80 divisors (see below), whose sum is σ = 206303760. Its totient is φ = 33446400.

The previous prime is 84465989. The next prime is 84466091. The reversal of 84466000 is 66448.

It can be written as a sum of positive squares in 8 ways, for example, as 57881664 + 26584336 = 7608^2 + 5156^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 84466000.

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, 313866 + ... + 314134.

It is an arithmetic number, because the mean of its divisors is an integer number (2578797).

Almost surely, 2^84466000 is an apocalyptic number.

84466000 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 84466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103151880).

84466000 is an abundant number, since it is smaller than the sum of its proper divisors (121837760).

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

84466000 is a wasteful number, since it uses less digits than its factorization.

84466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 84466000 is about 9190.5386131608. The cubic root of 84466000 is about 438.7602844428.

The spelling of 84466000 in words is "eighty-four million, four hundred sixty-six thousand".