84463344 has 320 divisors, whose sum is σ = 308551680. Its totient is φ = 21565440.

The previous prime is 84463343. The next prime is 84463367. The reversal of 84463344 is 44336448.

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.

It is a junction number, because it is equal to n+sod(n) for n = 84463299 and 84463308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84463343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593622 + ... + 1593674.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^84463344 is an apocalyptic number.

84463344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84463344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

84463344 is an abundant number, since it is smaller than the sum of its proper divisors (224088336).

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

84463344 is a wasteful number, since it uses less digits than its factorization.

84463344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 84463344 is about 9190.3941155970. The cubic root of 84463344 is about 438.7556855133.

The spelling of 84463344 in words is "eighty-four million, four hundred sixty-three thousand, three hundred forty-four".