84475800 has 144 divisors (see below), whose sum is σ = 288128880. Its totient is φ = 22176000.

The previous prime is 84475747. The next prime is 84475801. The reversal of 84475800 is 857448.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84475801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127470 + ... + 128130.

It is an arithmetic number, because the mean of its divisors is an integer number (2000895).

Almost surely, 2^84475800 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 84475800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144064440).

84475800 is an abundant number, since it is smaller than the sum of its proper divisors (203653080).

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

84475800 is a wasteful number, since it uses less digits than its factorization.

84475800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84475800 is about 9191.0717546976. The cubic root of 84475800 is about 438.7772525503. Note that the first 3 decimals are identical.

The spelling of 84475800 in words is "eighty-four million, four hundred seventy-five thousand, eight hundred".