83793648 has 80 divisors (see below), whose sum is σ = 229846400. Its totient is φ = 26231040.

The previous prime is 83793637. The next prime is 83793649. The reversal of 83793648 is 84639738.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 83793597 and 83793606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83793649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126438 + ... + 127098.

It is an arithmetic number, because the mean of its divisors is an integer number (2873080).

Almost surely, 2^83793648 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 83793648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114923200).

83793648 is an abundant number, since it is smaller than the sum of its proper divisors (146052752).

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

83793648 is a wasteful number, since it uses less digits than its factorization.

83793648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 83793648 is about 9153.8870432183. The cubic root of 83793648 is about 437.5929998758.

The spelling of 83793648 in words is "eighty-three million, seven hundred ninety-three thousand, six hundred forty-eight".