13677468 has 48 divisors (see below), whose sum is σ = 37228800. Its totient is φ = 3906672.

The previous prime is 13677463. The next prime is 13677491. The reversal of 13677468 is 86477631.

13677468 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13677463) 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, 2455 + ... + 5777.

It is an arithmetic number, because the mean of its divisors is an integer number (775600).

Almost surely, 2^13677468 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 13677468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614400).

13677468 is an abundant number, since it is smaller than the sum of its proper divisors (23551332).

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

13677468 is a wasteful number, since it uses less digits than its factorization.

13677468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3335 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 13677468 is about 3698.3060987430. The cubic root of 13677468 is about 239.1489999509.

The spelling of 13677468 in words is "thirteen million, six hundred seventy-seven thousand, four hundred sixty-eight".