653680 has 20 divisors (see below), whose sum is σ = 1519992. Its totient is φ = 261440.

The previous prime is 653659. The next prime is 653687. The reversal of 653680 is 86356.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4006 + ... + 4165.

2⁶⁵³⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

653680 is an abundant number, since it is smaller than the sum of its proper divisors (866312).

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

653680 is a wasteful number, since it uses less digits than its factorization.

653680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 653680 is about 808.5047928120. The cubic root of 653680 is about 86.7870778614.

The spelling of 653680 in words is "six hundred fifty-three thousand, six hundred eighty".