13677456 has 80 divisors (see below), whose sum is σ = 39747456. Its totient is φ = 4021248.

The previous prime is 13677451. The next prime is 13677463. The reversal of 13677456 is 65477631.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13677451) 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, 13876 + ... + 14828.

Almost surely, 2^13677456 is an apocalyptic number.

13677456 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 13677456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19873728).

13677456 is an abundant number, since it is smaller than the sum of its proper divisors (26070000).

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

13677456 is a wasteful number, since it uses less digits than its factorization.

13677456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 13677456 is about 3698.3044763783. The cubic root of 13677456 is about 239.1489300113.

The spelling of 13677456 in words is "thirteen million, six hundred seventy-seven thousand, four hundred fifty-six".