653088 has 24 divisors (see below), whose sum is σ = 1714608. Its totient is φ = 217664.

The previous prime is 653083. The next prime is 653111. The reversal of 653088 is 880356.

653088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (653083) by changing a digit.

653088 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, 3306 + ... + 3497.

It is an arithmetic number, because the mean of its divisors is an integer number (71442).

2⁶⁵³⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

653088 is an abundant number, since it is smaller than the sum of its proper divisors (1061520).

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

653088 is a wasteful number, since it uses less digits than its factorization.

653088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 653088 is about 808.1386019737. The cubic root of 653088 is about 86.7608706102.

The spelling of 653088 in words is "six hundred fifty-three thousand, eighty-eight".