13777640 has 64 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 5184000.

The previous prime is 13777637. The next prime is 13777649. The reversal of 13777640 is 4677731.

13777640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13777640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13777649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50705 + ... + 50975.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^13777640 is an apocalyptic number.

13777640 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 13777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13777640 is an abundant number, since it is smaller than the sum of its proper divisors (19123480).

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

13777640 is a wasteful number, since it uses less digits than its factorization.

13777640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 13777640 is about 3711.8243492924. The cubic root of 13777640 is about 239.7314124949.

Subtracting from 13777640 its reverse (4677731), we obtain a palindrome (9099909).

It can be divided in two parts, 137 and 77640, that added together give a palindrome (77777).

The spelling of 13777640 in words is "thirteen million, seven hundred seventy-seven thousand, six hundred forty".