83648448 has 84 divisors (see below), whose sum is σ = 258229608. Its totient is φ = 25735680.

The previous prime is 83648443. The next prime is 83648471. The reversal of 83648448 is 84484638.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83648443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1903 + ... + 13073.

It is an arithmetic number, because the mean of its divisors is an integer number (3074162).

Almost surely, 2^83648448 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 83648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129114804).

83648448 is an abundant number, since it is smaller than the sum of its proper divisors (174581160).

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

83648448 is a wasteful number, since it uses less digits than its factorization.

83648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11202 (or 11189 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 83648448 is about 9145.9525474387. The cubic root of 83648448 is about 437.3400959031.

It can be divided in two parts, 836 and 48448, that added together give a square (49284 = 222²).

The spelling of 83648448 in words is "eighty-three million, six hundred forty-eight thousand, four hundred forty-eight".