83193648 has 80 divisors (see below), whose sum is σ = 232949376. Its totient is φ = 25482240.

The previous prime is 83193629. The next prime is 83193653. The reversal of 83193648 is 84639138.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33903 + ... + 36273.

Almost surely, 2^83193648 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 83193648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116474688).

83193648 is an abundant number, since it is smaller than the sum of its proper divisors (149755728).

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

83193648 is a wasteful number, since it uses less digits than its factorization.

83193648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2436 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 83193648 is about 9121.0552021134. The cubic root of 83193648 is about 436.5460431218.

The spelling of 83193648 in words is "eighty-three million, one hundred ninety-three thousand, six hundred forty-eight".