84601728 has 192 divisors, whose sum is σ = 264775680. Its totient is φ = 25850880.

The previous prime is 84601711. The next prime is 84601763. The reversal of 84601728 is 82710648.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 84601692 and 84601701.

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 23 ways as a sum of consecutive naturals, for example, 821325 + ... + 821427.

It is an arithmetic number, because the mean of its divisors is an integer number (1379040).

Almost surely, 2^84601728 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 84601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132387840).

84601728 is an abundant number, since it is smaller than the sum of its proper divisors (180173952).

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

84601728 is a wasteful number, since it uses less digits than its factorization.

84601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 84601728 is about 9197.9197648164. The cubic root of 84601728 is about 438.9951725885.

The spelling of 84601728 in words is "eighty-four million, six hundred one thousand, seven hundred twenty-eight".