84144464 has 80 divisors (see below), whose sum is σ = 181030080. Its totient is φ = 37739520.

The previous prime is 84144461. The next prime is 84144539. The reversal of 84144464 is 46444148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84144461) by changing a digit.

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, 535874 + ... + 536030.

It is an arithmetic number, because the mean of its divisors is an integer number (2262876).

Almost surely, 2^84144464 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 84144464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90515040).

84144464 is an abundant number, since it is smaller than the sum of its proper divisors (96885616).

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

84144464 is a wasteful number, since it uses less digits than its factorization.

84144464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 49152, while the sum is 35.

The square root of 84144464 is about 9173.0291616238. The cubic root of 84144464 is about 438.2028348226.

The spelling of 84144464 in words is "eighty-four million, one hundred forty-four thousand, four hundred sixty-four".