84561800 has 96 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 31257600.

The previous prime is 84561797. The next prime is 84561817. The reversal of 84561800 is 816548.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 142304 + ... + 142896.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^84561800 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 84561800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

84561800 is an abundant number, since it is smaller than the sum of its proper divisors (127567480).

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

84561800 is a wasteful number, since it uses less digits than its factorization.

84561800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 84561800 is about 9195.7490178886. The cubic root of 84561800 is about 438.9261000929.

The spelling of 84561800 in words is "eighty-four million, five hundred sixty-one thousand, eight hundred".