84424032 has 336 divisors, whose sum is σ = 317302272. Its totient is φ = 21461760.

The previous prime is 84424027. The next prime is 84424033. The reversal of 84424032 is 23042448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 84423987 and 84424005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84424033) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1796233 + ... + 1796279.

It is an arithmetic number, because the mean of its divisors is an integer number (944352).

Almost surely, 2^84424032 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 84424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158651136).

84424032 is an abundant number, since it is smaller than the sum of its proper divisors (232878240).

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

84424032 is a wasteful number, since it uses less digits than its factorization.

84424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 84424032 is about 9188.2551118262. The cubic root of 84424032 is about 438.6876045393.

The spelling of 84424032 in words is "eighty-four million, four hundred twenty-four thousand, thirty-two".