84644768 has 48 divisors (see below), whose sum is σ = 190035720. Its totient is φ = 36765696.

The previous prime is 84644737. The next prime is 84644771. The reversal of 84644768 is 86744648.

It can be written as a sum of positive squares in 4 ways, for example, as 50865424 + 33779344 = 7132^2 + 5812^2 .

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 7 ways as a sum of consecutive naturals, for example, 1088 + ... + 13056.

Almost surely, 2^84644768 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 84644768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95017860).

84644768 is an abundant number, since it is smaller than the sum of its proper divisors (105390952).

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

84644768 is a wasteful number, since it uses less digits than its factorization.

84644768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12009 (or 12001 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 47.

The square root of 84644768 is about 9200.2591267855. The cubic root of 84644768 is about 439.0696042796.

The spelling of 84644768 in words is "eighty-four million, six hundred forty-four thousand, seven hundred sixty-eight".