13778656 has 48 divisors (see below), whose sum is σ = 28746144. Its totient is φ = 6488064.

The previous prime is 13778641. The next prime is 13778657. The reversal of 13778656 is 65687731.

13778656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13778656² = 379702722332672, which contains 22 as substring.

Its product of digits (211680) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13778657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71296 + ... + 71488.

It is an arithmetic number, because the mean of its divisors is an integer number (598878).

Almost surely, 2^13778656 is an apocalyptic number.

13778656 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 13778656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373072).

13778656 is an abundant number, since it is smaller than the sum of its proper divisors (14967488).

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

13778656 is a wasteful number, since it uses less digits than its factorization.

13778656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The square root of 13778656 is about 3711.9612066938. The cubic root of 13778656 is about 239.7373051618.

The spelling of 13778656 in words is "thirteen million, seven hundred seventy-eight thousand, six hundred fifty-six".