13760936 has 32 divisors (see below), whose sum is σ = 29911680. Its totient is φ = 5812800.

The previous prime is 13760933. The next prime is 13760963. The reversal of 13760936 is 63906731.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13760896 and 13760905.

It is not an unprimeable number, because it can be changed into a prime (13760933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2246 + ... + 5706.

It is an arithmetic number, because the mean of its divisors is an integer number (934740).

Almost surely, 2^13760936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13760936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955840).

13760936 is an abundant number, since it is smaller than the sum of its proper divisors (16150744).

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

13760936 is a wasteful number, since it uses less digits than its factorization.

13760936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 13760936 is about 3709.5735603975. The cubic root of 13760936 is about 239.6344899221.

The spelling of 13760936 in words is "thirteen million, seven hundred sixty thousand, nine hundred thirty-six".