84135384 has 96 divisors (see below), whose sum is σ = 234861120. Its totient is φ = 27200448.

The previous prime is 84135379. The next prime is 84135413. The reversal of 84135384 is 48353148.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 516087 + ... + 516249.

It is an arithmetic number, because the mean of its divisors is an integer number (2446470).

Almost surely, 2^84135384 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 84135384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117430560).

84135384 is an abundant number, since it is smaller than the sum of its proper divisors (150725736).

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

84135384 is a wasteful number, since it uses less digits than its factorization.

84135384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 84135384 is about 9172.5342190694. The cubic root of 84135384 is about 438.1870721502.

The spelling of 84135384 in words is "eighty-four million, one hundred thirty-five thousand, three hundred eighty-four".