53648 has 20 divisors (see below), whose sum is σ = 119040. Its totient is φ = 22944.

The previous prime is 53639. The next prime is 53653. The reversal of 53648 is 84635.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53648.

It is an unprimeable number.

53648 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, 128 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2⁵³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

53648 is an abundant number, since it is smaller than the sum of its proper divisors (65392).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

53648 is a wasteful number, since it uses less digits than its factorization.

53648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 53648 is about 231.6203790689. The cubic root of 53648 is about 37.7153242095.

The spelling of 53648 in words is "fifty-three thousand, six hundred forty-eight".