84369840 has 80 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 22418176.

The previous prime is 84369839. The next prime is 84369847. The reversal of 84369840 is 4896348.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 84369792 and 84369801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84369847) 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 15 ways as a sum of consecutive naturals, for example, 100141 + ... + 100979.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^84369840 is an apocalyptic number.

84369840 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 84369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

84369840 is an abundant number, since it is smaller than the sum of its proper divisors (178113360).

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

84369840 is a wasteful number, since it uses less digits than its factorization.

84369840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 84369840 is about 9185.3056563187. The cubic root of 84369840 is about 438.5937195532.

The spelling of 84369840 in words is "eighty-four million, three hundred sixty-nine thousand, eight hundred forty".