84884832 has 72 divisors (see below), whose sum is σ = 242358480. Its totient is φ = 28181760.

The previous prime is 84884819. The next prime is 84884861. The reversal of 84884832 is 23848848.

It is a happy number.

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

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

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 11 ways as a sum of consecutive naturals, for example, 102982 + ... + 103802.

It is an arithmetic number, because the mean of its divisors is an integer number (3366090).

Almost surely, 2^84884832 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 84884832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121179240).

84884832 is an abundant number, since it is smaller than the sum of its proper divisors (157473648).

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

84884832 is a wasteful number, since it uses less digits than its factorization.

84884832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1185 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 84884832 is about 9213.2964784598. The cubic root of 84884832 is about 439.4842993921.

The spelling of 84884832 in words is "eighty-four million, eight hundred eighty-four thousand, eight hundred thirty-two".