84400386 has 64 divisors (see below), whose sum is σ = 206309376. Its totient is φ = 22492800.

The previous prime is 84400373. The next prime is 84400387. The reversal of 84400386 is 68300448.

It is not an unprimeable number, because it can be changed into a prime (84400387) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38541 + ... + 40671.

It is an arithmetic number, because the mean of its divisors is an integer number (3223584).

Almost surely, 2^84400386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84400386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103154688).

84400386 is an abundant number, since it is smaller than the sum of its proper divisors (121908990).

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

84400386 is a wasteful number, since it uses less digits than its factorization.

84400386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 84400386 is about 9186.9682703273. The cubic root of 84400386 is about 438.6466439444.

The spelling of 84400386 in words is "eighty-four million, four hundred thousand, three hundred eighty-six".