83768448 has 96 divisors (see below), whose sum is σ = 230932080. Its totient is φ = 26903040.

The previous prime is 83768441. The next prime is 83768527. The reversal of 83768448 is 84486738.

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

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 = 83768397 and 83768406.

It is not an unprimeable number, because it can be changed into a prime (83768441) 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, 368911 + ... + 369137.

Almost surely, 2^83768448 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 83768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115466040).

83768448 is an abundant number, since it is smaller than the sum of its proper divisors (147163632).

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

83768448 is a wasteful number, since it uses less digits than its factorization.

83768448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 263 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 83768448 is about 9152.5104752740. The cubic root of 83768448 is about 437.5491284150.

The spelling of 83768448 in words is "eighty-three million, seven hundred sixty-eight thousand, four hundred forty-eight".