653968 has 20 divisors (see below), whose sum is σ = 1448320. Its totient is φ = 280224.

The previous prime is 653963. The next prime is 653969. The reversal of 653968 is 869356.

653968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (653963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2808 + ... + 3031.

It is an arithmetic number, because the mean of its divisors is an integer number (72416).

2⁶⁵³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

653968 is an abundant number, since it is smaller than the sum of its proper divisors (794352).

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

653968 is a wasteful number, since it uses less digits than its factorization.

653968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5848 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 653968 is about 808.6828797495. The cubic root of 653968 is about 86.7998216140.

The spelling of 653968 in words is "six hundred fifty-three thousand, nine hundred sixty-eight".