84384040 has 32 divisors (see below), whose sum is σ = 204470280. Its totient is φ = 31156992.

The previous prime is 84384031. The next prime is 84384061. The reversal of 84384040 is 4048348.

It can be written as a sum of positive squares in 4 ways, for example, as 30713764 + 53670276 = 5542^2 + 7326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84383993 and 84384011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80619 + ... + 81658.

Almost surely, 2^84384040 is an apocalyptic number.

It is an amenable number.

84384040 is an abundant number, since it is smaller than the sum of its proper divisors (120086240).

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

84384040 is a wasteful number, since it uses less digits than its factorization.

84384040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162301 (or 162297 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 84384040 is about 9186.0785975301. The cubic root of 84384040 is about 438.6183242439.

The spelling of 84384040 in words is "eighty-four million, three hundred eighty-four thousand, forty".