84084400 has 60 divisors (see below), whose sum is σ = 208560064. Its totient is φ = 32544000.

The previous prime is 84084391. The next prime is 84084421. The reversal of 84084400 is 448048.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9010 + ... + 15790.

Almost surely, 2^84084400 is an apocalyptic number.

84084400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104280032).

84084400 is an abundant number, since it is smaller than the sum of its proper divisors (124475664).

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

84084400 is a wasteful number, since it uses less digits than its factorization.

84084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 84084400 is about 9169.7546313955. The cubic root of 84084400 is about 438.0985440234.

The spelling of 84084400 in words is "eighty-four million, eighty-four thousand, four hundred".