13786416 has 160 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 3815424.

The previous prime is 13786411. The next prime is 13786417. The reversal of 13786416 is 61468731.

13786416 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 641 + 6 = 666.

It is a super-2 number, since 2×13786416² = 380130532250112, which contains 22 as substring.

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.

Its product of digits (24192) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (13786411) 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 31 ways as a sum of consecutive naturals, for example, 142080 + ... + 142176.

It is an arithmetic number, because the mean of its divisors is an integer number (291648).

Almost surely, 2^13786416 is an apocalyptic number.

13786416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13786416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

13786416 is an abundant number, since it is smaller than the sum of its proper divisors (32877264).

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

13786416 is a wasteful number, since it uses less digits than its factorization.

13786416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13786416 is about 3713.0063291085. The cubic root of 13786416 is about 239.7823025924.

The spelling of 13786416 in words is "thirteen million, seven hundred eighty-six thousand, four hundred sixteen".