123616 has 12 divisors (see below), whose sum is σ = 243432. Its totient is φ = 61792.

The previous prime is 123601. The next prime is 123619. The reversal of 123616 is 616321.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 123593 and 123602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1900 + ... + 1963.

It is an arithmetic number, because the mean of its divisors is an integer number (20286).

2¹²³⁶¹⁶ is an apocalyptic number.

123616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123616 is a deficient number, since it is larger than the sum of its proper divisors (119816).

123616 is an equidigital number, since it uses as much as digits as its factorization.

123616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3865 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 123616 is about 351.5906710935. The cubic root of 123616 is about 49.8147813952.

Adding to 123616 its reverse (616321), we get a palindrome (739937).

The spelling of 123616 in words is "one hundred twenty-three thousand, six hundred sixteen".