83000448 has 96 divisors (see below), whose sum is σ = 241398300. Its totient is φ = 27371520.

The previous prime is 83000447. The next prime is 83000453. The reversal of 83000448 is 84400038.

It can be written as a sum of positive squares in 2 ways, for example, as 77580864 + 5419584 = 8808^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (83000447) 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, 125238 + ... + 125898.

Almost surely, 2^83000448 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 83000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120699150).

83000448 is an abundant number, since it is smaller than the sum of its proper divisors (158397852).

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

83000448 is a wasteful number, since it uses less digits than its factorization.

83000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83000448 is about 9110.4581663054. The cubic root of 83000448 is about 436.2078519664.

The spelling of 83000448 in words is "eighty-three million, four hundred forty-eight", and thus it is an aban number.