84384400 has 30 divisors (see below), whose sum is σ = 202734482. Its totient is φ = 33753600.

The previous prime is 84384367. The next prime is 84384431. The reversal of 84384400 is 448348.

It can be written as a sum of positive squares in 3 ways, for example, as 21086464 + 63297936 = 4592^2 + 7956^2 .

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 5 ways as a sum of consecutive naturals, for example, 105081 + ... + 105880.

Almost surely, 2^84384400 is an apocalyptic number.

84384400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84384400 is an abundant number, since it is smaller than the sum of its proper divisors (118350082).

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

84384400 is a wasteful number, since it uses less digits than its factorization.

84384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210979 (or 210968 counting only the distinct ones).

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

The square root of 84384400 is about 9186.0981923774. The cubic root of 84384400 is about 438.6189479889.

The spelling of 84384400 in words is "eighty-four million, three hundred eighty-four thousand, four hundred".