84048300 has 144 divisors (see below), whose sum is σ = 308869120. Its totient is φ = 19206720.

The previous prime is 84048299. The next prime is 84048317. The reversal of 84048300 is 384048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16677 + ... + 21123.

Almost surely, 2^84048300 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 84048300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154434560).

84048300 is an abundant number, since it is smaller than the sum of its proper divisors (224820820).

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

84048300 is a wasteful number, since it uses less digits than its factorization.

84048300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84048300 is about 9167.7859922666. The cubic root of 84048300 is about 438.0358386888.

It can be divided in two parts, 84048 and 300, that added together give a palindrome (84348).

The spelling of 84048300 in words is "eighty-four million, forty-eight thousand, three hundred".