13867416 has 128 divisors (see below), whose sum is σ = 42240000. Its totient is φ = 4199040.

The previous prime is 13867409. The next prime is 13867417. The reversal of 13867416 is 61476831.

13867416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13867417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127170 + ... + 127278.

It is an arithmetic number, because the mean of its divisors is an integer number (330000).

Almost surely, 2^13867416 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 13867416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21120000).

13867416 is an abundant number, since it is smaller than the sum of its proper divisors (28372584).

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

13867416 is a wasteful number, since it uses less digits than its factorization.

13867416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

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

The square root of 13867416 is about 3723.8979577856. The cubic root of 13867416 is about 240.2509874306.

The spelling of 13867416 in words is "thirteen million, eight hundred sixty-seven thousand, four hundred sixteen".