13677048 has 96 divisors (see below), whose sum is σ = 46200960. Its totient is φ = 3551040.

The previous prime is 13677043. The next prime is 13677077. The reversal of 13677048 is 84077631.

13677048 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 (13677043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4311 + ... + 6777.

It is an arithmetic number, because the mean of its divisors is an integer number (481260).

Almost surely, 2^13677048 is an apocalyptic number.

13677048 is a gapful number since it is divisible by the number (18) 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 13677048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23100480).

13677048 is an abundant number, since it is smaller than the sum of its proper divisors (32523912).

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

13677048 is a wasteful number, since it uses less digits than its factorization.

13677048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13677048 is about 3698.2493155546. The cubic root of 13677048 is about 239.1465520415.

The spelling of 13677048 in words is "thirteen million, six hundred seventy-seven thousand, forty-eight".