653568 has 72 divisors (see below), whose sum is σ = 1864128. Its totient is φ = 202752.

The previous prime is 653563. The next prime is 653579. The reversal of 653568 is 865356.

It is a super-2 number, since 2×653568² = 854302261248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (653561) by changing a digit.

653568 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 7 ways as a sum of consecutive naturals, for example, 17646 + ... + 17682.

2⁶⁵³⁵⁶⁸ 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 653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932064).

653568 is an abundant number, since it is smaller than the sum of its proper divisors (1210560).

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

653568 is a wasteful number, since it uses less digits than its factorization.

653568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 653568 is about 808.4355261862. The cubic root of 653568 is about 86.7821209468.

It can be divided in two parts, 653 and 568, that added together give a palindrome (1221).

The spelling of 653568 in words is "six hundred fifty-three thousand, five hundred sixty-eight".