253616 has 30 divisors (see below), whose sum is σ = 544236. Its totient is φ = 114400.

The previous prime is 253613. The next prime is 253633. The reversal of 253616 is 616352.

It is a junction number, because it is equal to n+sod(n) for n = 253591 and 253600.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253616.

It is not an unprimeable number, because it can be changed into a prime (253613) 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 5 ways as a sum of consecutive naturals, for example, 1871 + ... + 2001.

2²⁵³⁶¹⁶ 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 253616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272118).

253616 is an abundant number, since it is smaller than the sum of its proper divisors (290620).

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

253616 is a wasteful number, since it uses less digits than its factorization.

253616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 253616 is about 503.6030182594. The cubic root of 253616 is about 63.2983247579.

Adding to 253616 its reverse (616352), we get a palindrome (869968).

It can be divided in two parts, 2536 and 16, that added together give a palindrome (2552).

The spelling of 253616 in words is "two hundred fifty-three thousand, six hundred sixteen".