13787620 has 72 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 4294080.

The previous prime is 13787593. The next prime is 13787621. The reversal of 13787620 is 2678731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13787621) 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 23 ways as a sum of consecutive naturals, for example, 10141 + ... + 11419.

It is an arithmetic number, because the mean of its divisors is an integer number (510720).

Almost surely, 2^13787620 is an apocalyptic number.

13787620 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 13787620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

13787620 is an abundant number, since it is smaller than the sum of its proper divisors (22984220).

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

13787620 is a wasteful number, since it uses less digits than its factorization.

13787620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 13787620 is about 3713.1684583385. The cubic root of 13787620 is about 239.7892826392.

Subtracting from 13787620 its reverse (2678731), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1378 and 7620, that added together give a palindrome (8998).

The spelling of 13787620 in words is "thirteen million, seven hundred eighty-seven thousand, six hundred twenty".