83448144 has 180 divisors, whose sum is σ = 264316416. Its totient is φ = 25474176.

The previous prime is 83448143. The next prime is 83448149. The reversal of 83448144 is 44184438.

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 = 83448099 and 83448108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83448143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 657009 + ... + 657135.

Almost surely, 2^83448144 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 83448144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132158208).

83448144 is an abundant number, since it is smaller than the sum of its proper divisors (180868272).

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

83448144 is a wasteful number, since it uses less digits than its factorization.

83448144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 83448144 is about 9134.9955665014. The cubic root of 83448144 is about 436.9907330289.

The spelling of 83448144 in words is "eighty-three million, four hundred forty-eight thousand, one hundred forty-four".