84523840 has 28 divisors (see below), whose sum is σ = 201273156. Its totient is φ = 33809408.

The previous prime is 84523823. The next prime is 84523843. The reversal of 84523840 is 4832548.

It can be written as a sum of positive squares in 2 ways, for example, as 31990336 + 52533504 = 5656^2 + 7248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84523796 and 84523805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84523843) 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 3 ways as a sum of consecutive naturals, for example, 131749 + ... + 132388.

It is an arithmetic number, because the mean of its divisors is an integer number (7188327).

Almost surely, 2^84523840 is an apocalyptic number.

84523840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84523840 is an abundant number, since it is smaller than the sum of its proper divisors (116749316).

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

84523840 is a wasteful number, since it uses less digits than its factorization.

84523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264154 (or 264144 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 84523840 is about 9193.6847890277. The cubic root of 84523840 is about 438.8604119274.

The spelling of 84523840 in words is "eighty-four million, five hundred twenty-three thousand, eight hundred forty".