13760256 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 4055040.

The previous prime is 13760251. The next prime is 13760261. The reversal of 13760256 is 65206731.

It is an interprime number because it is at equal distance from previous prime (13760251) and next prime (13760261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13760251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335596 + ... + 335636.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 2^13760256 is an apocalyptic number.

13760256 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 13760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

13760256 is an abundant number, since it is smaller than the sum of its proper divisors (27446784).

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

13760256 is a wasteful number, since it uses less digits than its factorization.

13760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 13760256 is about 3709.4819045252. The cubic root of 13760256 is about 239.6305426583.

Adding to 13760256 its reverse (65206731), we get a palindrome (78966987).

The spelling of 13760256 in words is "thirteen million, seven hundred sixty thousand, two hundred fifty-six".