13789116 has 120 divisors (see below), whose sum is σ = 40615344. Its totient is φ = 4043520.

The previous prime is 13789103. The next prime is 13789133. The reversal of 13789116 is 61198731.

13789116 = T₂₀₈ + T₂₀₉ + ... + T₄₅₀.

It is a super-2 number, since 2×13789116² = 380279440122912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188856 + ... + 188928.

Almost surely, 2^13789116 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 13789116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307672).

13789116 is an abundant number, since it is smaller than the sum of its proper divisors (26826228).

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

13789116 is a wasteful number, since it uses less digits than its factorization.

13789116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 13789116 is about 3713.3698980845. The cubic root of 13789116 is about 239.7979549552.

It can be divided in two parts, 137 and 89116, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 13789116 in words is "thirteen million, seven hundred eighty-nine thousand, one hundred sixteen".