84856128 has 112 divisors (see below), whose sum is σ = 270174720. Its totient is φ = 22961664.

The previous prime is 84856091. The next prime is 84856141. The reversal of 84856128 is 82165848.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 84856128.

It is a congruent number.

It is an unprimeable number.

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, 23875 + ... + 27197.

Almost surely, 2^84856128 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 84856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135087360).

84856128 is an abundant number, since it is smaller than the sum of its proper divisors (185318592).

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

84856128 is a wasteful number, since it uses less digits than its factorization.

84856128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3354 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 84856128 is about 9211.7385981149. The cubic root of 84856128 is about 439.4347562672.

The spelling of 84856128 in words is "eighty-four million, eight hundred fifty-six thousand, one hundred twenty-eight".