84153344 has 88 divisors (see below), whose sum is σ = 190223616. Its totient is φ = 36864000.

The previous prime is 84153283. The next prime is 84153367. The reversal of 84153344 is 44335148.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 84153344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349064 + ... + 349304.

It is an arithmetic number, because the mean of its divisors is an integer number (2161632).

Almost surely, 2^84153344 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 84153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95111808).

84153344 is an abundant number, since it is smaller than the sum of its proper divisors (106070272).

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

84153344 is a wasteful number, since it uses less digits than its factorization.

84153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 84153344 is about 9173.5131765317. The cubic root of 84153344 is about 438.2182492029.

The spelling of 84153344 in words is "eighty-four million, one hundred fifty-three thousand, three hundred forty-four".