84225744 has 160 divisors (see below), whose sum is σ = 256233600. Its totient is φ = 26780544.

The previous prime is 84225733. The next prime is 84225749. The reversal of 84225744 is 44752248.

84225744 is a `hidden beast` number, since 84 + 2 + 2 + 574 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 84225699 and 84225708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84225749) by changing a digit.

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, 1014727 + ... + 1014809.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 2^84225744 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 84225744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128116800).

84225744 is an abundant number, since it is smaller than the sum of its proper divisors (172007856).

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

84225744 is an equidigital number, since it uses as much as digits as its factorization.

84225744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 84225744 is about 9177.4584717121. The cubic root of 84225744 is about 438.3438845628.

The spelling of 84225744 in words is "eighty-four million, two hundred twenty-five thousand, seven hundred forty-four".