13616124 has 48 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4380480.

The previous prime is 13616107. The next prime is 13616129. The reversal of 13616124 is 42161631.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13616094 and 13616103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13616129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50109 + ... + 50379.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 2^13616124 is an apocalyptic number.

It is an amenable number.

13616124 is an abundant number, since it is smaller than the sum of its proper divisors (19284996).

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

13616124 is a wasteful number, since it uses less digits than its factorization.

13616124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13616124 is about 3690.0032520311. The cubic root of 13616124 is about 238.7909331058.

Subtracting from 13616124 its sum of digits (24), we obtain a square (13616100 = 3690²).

Adding to 13616124 its reverse (42161631), we get a palindrome (55777755).

The spelling of 13616124 in words is "thirteen million, six hundred sixteen thousand, one hundred twenty-four".