208648 has 16 divisors (see below), whose sum is σ = 426960. Its totient is φ = 94800.

The previous prime is 208631. The next prime is 208657. The reversal of 208648 is 846802.

It is an unprimeable number.

208648 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 in 3 ways as a sum of consecutive naturals, for example, 1098 + ... + 1273.

It is an arithmetic number, because the mean of its divisors is an integer number (26685).

2²⁰⁸⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

208648 is an abundant number, since it is smaller than the sum of its proper divisors (218312).

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

208648 is a wasteful number, since it uses less digits than its factorization.

208648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 208648 is about 456.7800345900. The cubic root of 208648 is about 59.3113863477.

It can be divided in two parts, 2086 and 48, that multiplied together give a triangular number (100128 = T₄₄₇).

The spelling of 208648 in words is "two hundred eight thousand, six hundred forty-eight".