84344832 has 204 divisors, whose sum is σ = 286259064. Its totient is φ = 23592960.

The previous prime is 84344809. The next prime is 84344833. The reversal of 84344832 is 23844348.

It is a super-2 number, since 2×84344832² = 14228101370216448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84344833) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6488058 + ... + 6488070.

Almost surely, 2^84344832 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 84344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143129532).

84344832 is an abundant number, since it is smaller than the sum of its proper divisors (201914232).

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

84344832 is a wasteful number, since it uses less digits than its factorization.

84344832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 84344832 is about 9183.9442507019. The cubic root of 84344832 is about 438.5503808608.

The spelling of 84344832 in words is "eighty-four million, three hundred forty-four thousand, eight hundred thirty-two".