84271536 has 80 divisors (see below), whose sum is σ = 254646400. Its totient is φ = 26609472.

The previous prime is 84271531. The next prime is 84271541. The reversal of 84271536 is 63517248.

It is an interprime number because it is at equal distance from previous prime (84271531) and next prime (84271541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84271536.

It is not an unprimeable number, because it can be changed into a prime (84271531) 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, 3075 + ... + 13341.

It is an arithmetic number, because the mean of its divisors is an integer number (3183080).

Almost surely, 2^84271536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84271536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127323200).

84271536 is an abundant number, since it is smaller than the sum of its proper divisors (170374864).

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

84271536 is a wasteful number, since it uses less digits than its factorization.

84271536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10303 (or 10291 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 84271536 is about 9179.9529410559. The cubic root of 84271536 is about 438.4233100274.

The spelling of 84271536 in words is "eighty-four million, two hundred seventy-one thousand, five hundred thirty-six".