84107232 has 144 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 25171200.

The previous prime is 84107203. The next prime is 84107249. The reversal of 84107232 is 23270148.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 84107196 and 84107205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440257 + ... + 440447.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^84107232 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 84107232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

84107232 is an abundant number, since it is smaller than the sum of its proper divisors (180069408).

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

84107232 is a wasteful number, since it uses less digits than its factorization.

84107232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84107232 is about 9170.9995093229. Note that the first 3 decimals coincide. The cubic root of 84107232 is about 438.1381937116.

The spelling of 84107232 in words is "eighty-four million, one hundred seven thousand, two hundred thirty-two".