653646 has 32 divisors (see below), whose sum is σ = 1520640. Its totient is φ = 183456.

The previous prime is 653641. The next prime is 653647. The reversal of 653646 is 646356.

Its product of digits (12960) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653646.

It is not an unprimeable number, because it can be changed into a prime (653641) by changing a digit.

653646 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 15 ways as a sum of consecutive naturals, for example, 3220 + ... + 3416.

It is an arithmetic number, because the mean of its divisors is an integer number (47520).

2⁶⁵³⁶⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760320).

653646 is an abundant number, since it is smaller than the sum of its proper divisors (866994).

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

653646 is a wasteful number, since it uses less digits than its factorization.

653646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 12960, while the sum is 30.

The square root of 653646 is about 808.4837660708. The cubic root of 653646 is about 86.7855731436.

The spelling of 653646 in words is "six hundred fifty-three thousand, six hundred forty-six".