84205320 has 32 divisors (see below), whose sum is σ = 252616320. Its totient is φ = 22454720.

The previous prime is 84205313. The next prime is 84205327. The reversal of 84205320 is 2350248.

84205320 = T₁₉₁₂ + T₁₉₁₃ + ... + T₁₉₅₆.

It is an interprime number because it is at equal distance from previous prime (84205313) and next prime (84205327).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (84205327) 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 7 ways as a sum of consecutive naturals, for example, 350736 + ... + 350975.

It is an arithmetic number, because the mean of its divisors is an integer number (7894260).

Almost surely, 2^84205320 is an apocalyptic number.

It is an amenable number.

84205320 is an abundant number, since it is smaller than the sum of its proper divisors (168411000).

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

84205320 is a wasteful number, since it uses less digits than its factorization.

84205320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701725 (or 701721 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 84205320 is about 9176.3456778829. The cubic root of 84205320 is about 438.3084501899.

Adding to 84205320 its reverse (2350248), we get a palindrome (86555568).

The spelling of 84205320 in words is "eighty-four million, two hundred five thousand, three hundred twenty".