84055800 has 96 divisors (see below), whose sum is σ = 271946880. Its totient is φ = 21436800.

The previous prime is 84055793. The next prime is 84055801. The reversal of 84055800 is 855048.

It is a super-3 number, since 3×84055800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84055801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10755 + ... + 16845.

It is an arithmetic number, because the mean of its divisors is an integer number (2832780).

Almost surely, 2^84055800 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 84055800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135973440).

84055800 is an abundant number, since it is smaller than the sum of its proper divisors (187891080).

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

84055800 is a wasteful number, since it uses less digits than its factorization.

84055800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6124 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 84055800 is about 9168.1950241037. The cubic root of 84055800 is about 438.0488675903.

The spelling of 84055800 in words is "eighty-four million, fifty-five thousand, eight hundred".