84144424 has 96 divisors (see below), whose sum is σ = 207126720. Its totient is φ = 31269888.

The previous prime is 84144409. The next prime is 84144439. The reversal of 84144424 is 42444148.

It is an interprime number because it is at equal distance from previous prime (84144409) and next prime (84144439).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 160627 + ... + 161149.

It is an arithmetic number, because the mean of its divisors is an integer number (2157570).

Almost surely, 2^84144424 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 84144424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103563360).

84144424 is an abundant number, since it is smaller than the sum of its proper divisors (122982296).

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

84144424 is a wasteful number, since it uses less digits than its factorization.

84144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 562 counting only the distinct ones).

The product of its digits is 16384, while the sum is 31.

The square root of 84144424 is about 9173.0269813187. The cubic root of 84144424 is about 438.2027653860.

The spelling of 84144424 in words is "eighty-four million, one hundred forty-four thousand, four hundred twenty-four".