84267144 has 96 divisors (see below), whose sum is σ = 247567320. Its totient is φ = 25740288.

The previous prime is 84267107. The next prime is 84267203. The reversal of 84267144 is 44176248.

It can be written as a sum of positive squares in 4 ways, for example, as 83942244 + 324900 = 9162^2 + 570^2 .

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

Its product of digits (43008) is a multiple of the sum of its prime divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 84267099 and 84267108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184164 + ... + 184620.

Almost surely, 2^84267144 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 84267144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123783660).

84267144 is an abundant number, since it is smaller than the sum of its proper divisors (163300176).

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

84267144 is a wasteful number, since it uses less digits than its factorization.

84267144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 84267144 is about 9179.7137210264. The cubic root of 84267144 is about 438.4156934239.

The spelling of 84267144 in words is "eighty-four million, two hundred sixty-seven thousand, one hundred forty-four".