84609000 has 384 divisors, whose sum is σ = 350438400. Its totient is φ = 17971200.

The previous prime is 84608999. The next prime is 84609011. The reversal of 84609000 is 90648.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1070961 + ... + 1071039.

It is an arithmetic number, because the mean of its divisors is an integer number (912600).

Almost surely, 2^84609000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175219200).

84609000 is an abundant number, since it is smaller than the sum of its proper divisors (265829400).

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

84609000 is a wasteful number, since it uses less digits than its factorization.

84609000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 84609000 is about 9198.3150630972. The cubic root of 84609000 is about 439.0077502727.

Adding to 84609000 its reverse (90648), we get a palindrome (84699648).

The spelling of 84609000 in words is "eighty-four million, six hundred nine thousand".