13756640 has 48 divisors (see below), whose sum is σ = 32804352. Its totient is φ = 5451264.

The previous prime is 13756619. The next prime is 13756649. The reversal of 13756640 is 4665731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13756597 and 13756606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13756649) 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 7 ways as a sum of consecutive naturals, for example, 19982 + ... + 20658.

It is an arithmetic number, because the mean of its divisors is an integer number (683424).

Almost surely, 2^13756640 is an apocalyptic number.

13756640 is a gapful number since it is divisible by the number (10) 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 13756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402176).

13756640 is an abundant number, since it is smaller than the sum of its proper divisors (19047712).

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

13756640 is a wasteful number, since it uses less digits than its factorization.

13756640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 13756640 is about 3708.9944728996. The cubic root of 13756640 is about 239.6095503173.

Subtracting from 13756640 its reverse (4665731), we obtain a palindrome (9090909).

The spelling of 13756640 in words is "thirteen million, seven hundred fifty-six thousand, six hundred forty".