13838616 has 96 divisors (see below), whose sum is σ = 41530320. Its totient is φ = 4128000.

The previous prime is 13838609. The next prime is 13838621. The reversal of 13838616 is 61683831.

13838616 is a `hidden beast` number, since 1 + 3 + 8 + 38 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79906 + ... + 80078.

Almost surely, 2^13838616 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 13838616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765160).

13838616 is an abundant number, since it is smaller than the sum of its proper divisors (27691704).

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

13838616 is a wasteful number, since it uses less digits than its factorization.

13838616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13838616 is about 3720.0290321448. The cubic root of 13838616 is about 240.0845535411.

It can be divided in two parts, 1383 and 8616, that added together give a palindrome (9999).

The spelling of 13838616 in words is "thirteen million, eight hundred thirty-eight thousand, six hundred sixteen".