84356448 has 192 divisors, whose sum is σ = 264757248. Its totient is φ = 23224320.

The previous prime is 84356423. The next prime is 84356453. The reversal of 84356448 is 84465348.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 664161 + ... + 664287.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 2^84356448 is an apocalyptic number.

84356448 is a gapful number since it is divisible by the number (88) 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 84356448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

84356448 is an abundant number, since it is smaller than the sum of its proper divisors (180400800).

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

84356448 is a wasteful number, since it uses less digits than its factorization.

84356448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 84356448 is about 9184.5766369496. The cubic root of 84356448 is about 438.5705123744.

Subtracting 84356448 from its reverse (84465348), we obtain a square (108900 = 330²).

It can be divided in two parts, 843 and 56448, that added together give a triangular number (57291 = T₃₃₈).

The spelling of 84356448 in words is "eighty-four million, three hundred fifty-six thousand, four hundred forty-eight".