84671136 has 192 divisors, whose sum is σ = 275788800. Its totient is φ = 25056000.

The previous prime is 84671131. The next prime is 84671141. The reversal of 84671136 is 63117648.

It is an interprime number because it is at equal distance from previous prime (84671131) and next prime (84671141).

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 84671136.

It is not an unprimeable number, because it can be changed into a prime (84671131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 560661 + ... + 560811.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^84671136 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 84671136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

84671136 is an abundant number, since it is smaller than the sum of its proper divisors (191117664).

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

84671136 is a wasteful number, since it uses less digits than its factorization.

84671136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 84671136 is about 9201.6920183192. The cubic root of 84671136 is about 439.1151916035.

The spelling of 84671136 in words is "eighty-four million, six hundred seventy-one thousand, one hundred thirty-six".