84389600 has 72 divisors (see below), whose sum is σ = 211658328. Its totient is φ = 32832000.

The previous prime is 84389593. The next prime is 84389629. The reversal of 84389600 is 698348.

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 11 ways as a sum of consecutive naturals, for example, 28175 + ... + 31025.

It is an arithmetic number, because the mean of its divisors is an integer number (2939699).

Almost surely, 2^84389600 is an apocalyptic number.

84389600 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 84389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105829164).

84389600 is an abundant number, since it is smaller than the sum of its proper divisors (127268728).

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

84389600 is a wasteful number, since it uses less digits than its factorization.

84389600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 84389600 is about 9186.3812243995. The cubic root of 84389600 is about 438.6279574412.

The spelling of 84389600 in words is "eighty-four million, three hundred eighty-nine thousand, six hundred".