13656384 has 112 divisors (see below), whose sum is σ = 45923200. Its totient is φ = 3898368.

The previous prime is 13656371. The next prime is 13656407. The reversal of 13656384 is 48365631.

13656384 is a `hidden beast` number, since 13 + 6 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11532 + ... + 12660.

Almost surely, 2^13656384 is an apocalyptic number.

13656384 is a gapful number since it is divisible by the number (14) 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 13656384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961600).

13656384 is an abundant number, since it is smaller than the sum of its proper divisors (32266816).

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

13656384 is a wasteful number, since it uses less digits than its factorization.

13656384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 13656384 is about 3695.4545051996. The cubic root of 13656384 is about 239.0260529596.

The spelling of 13656384 in words is "thirteen million, six hundred fifty-six thousand, three hundred eighty-four".