83648 has 14 divisors (see below), whose sum is σ = 166116. Its totient is φ = 41792.

The previous prime is 83641. The next prime is 83653. The reversal of 83648 is 84638.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 83648.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83648.

It is not an unprimeable number, because it can be changed into a prime (83641) by changing a digit.

83648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 590 + ... + 717.

2⁸³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

83648 is a deficient number, since it is larger than the sum of its proper divisors (82468).

83648 is a wasteful number, since it uses less digits than its factorization.

83648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1309 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 83648 is about 289.2196397204. The cubic root of 83648 is about 43.7339315141.

Subtracting 83648 from its reverse (84638), we obtain a triangular number (990 = T₄₄).

The spelling of 83648 in words is "eighty-three thousand, six hundred forty-eight".