84551328 has 72 divisors (see below), whose sum is σ = 241975188. Its totient is φ = 28004352.

The previous prime is 84551317. The next prime is 84551329. The reversal of 84551328 is 82315548.

It is a happy number.

84551328 is a `hidden beast` number, since 84 + 551 + 3 + 28 = 666.

84551328 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 62536464 + 22014864 = 7908^2 + 4692^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 84551292 and 84551301.

It is not an unprimeable number, because it can be changed into a prime (84551329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48976 + ... + 50672.

Almost surely, 2^84551328 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 84551328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120987594).

84551328 is an abundant number, since it is smaller than the sum of its proper divisors (157423860).

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

84551328 is a wasteful number, since it uses less digits than its factorization.

84551328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1875 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 84551328 is about 9195.1796067287. The cubic root of 84551328 is about 438.9079807062.

The spelling of 84551328 in words is "eighty-four million, five hundred fifty-one thousand, three hundred twenty-eight".