653616 has 80 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 202752.

The previous prime is 653593. The next prime is 653617. The reversal of 653616 is 616356.

653616 is a `hidden beast` number, since 653 + 6 + 1 + 6 = 666.

653616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 653616.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653616.

It is not an unprimeable number, because it can be changed into a prime (653617) by changing a digit.

653616 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, 7300 + ... + 7388.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2⁶⁵³⁶¹⁶ 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 653616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

653616 is an abundant number, since it is smaller than the sum of its proper divisors (1355184).

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

653616 is a wasteful number, since it uses less digits than its factorization.

653616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 653616 is about 808.4652126097. The cubic root of 653616 is about 86.7842454081.

The spelling of 653616 in words is "six hundred fifty-three thousand, six hundred sixteen".