84084084 has 36 divisors (see below), whose sum is σ = 242910304. Its totient is φ = 24023952.

The previous prime is 84084073. The next prime is 84084089. The reversal of 84084084 is 48048048.

It is a tau number, because it is divible by the number of its divisors (36).

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

84084084 is a modest number, since divided by 84084 gives 84 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84084089) 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, 166582 + ... + 167085.

Almost surely, 2^84084084 is an apocalyptic number.

84084084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84084084 is an abundant number, since it is smaller than the sum of its proper divisors (158826220).

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

84084084 is a wasteful number, since it uses less digits than its factorization.

84084084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333684 (or 333679 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84084084 is about 9169.7374008202. The cubic root of 84084084 is about 438.0979952125.

The spelling of 84084084 in words is "eighty-four million, eighty-four thousand, eighty-four".