8484192 has 72 divisors (see below), whose sum is σ = 24471720. Its totient is φ = 2787840.

The previous prime is 8484191. The next prime is 8484227. The reversal of 8484192 is 2914848.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8484191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25467 + ... + 25797.

It is an arithmetic number, because the mean of its divisors is an integer number (339885).

Almost surely, 2^8484192 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 8484192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235860).

8484192 is an abundant number, since it is smaller than the sum of its proper divisors (15987528).

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

8484192 is a wasteful number, since it uses less digits than its factorization.

8484192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8484192 is about 2912.7636361367. The cubic root of 8484192 is about 203.9561612835.

The spelling of 8484192 in words is "eight million, four hundred eighty-four thousand, one hundred ninety-two".