84132192 has 48 divisors (see below), whose sum is σ = 223059312. Its totient is φ = 27763200.

The previous prime is 84132179. The next prime is 84132211. The reversal of 84132192 is 29123148.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5358 + ... + 14034.

It is an arithmetic number, because the mean of its divisors is an integer number (4647069).

Almost surely, 2^84132192 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 84132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111529656).

84132192 is an abundant number, since it is smaller than the sum of its proper divisors (138927120).

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

84132192 is a wasteful number, since it uses less digits than its factorization.

84132192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8783 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 84132192 is about 9172.3602197035. The cubic root of 84132192 is about 438.1815306417.

It can be divided in two parts, 841 and 32192, that added together give a palindrome (33033).

The spelling of 84132192 in words is "eighty-four million, one hundred thirty-two thousand, one hundred ninety-two".