13140764 has 36 divisors (see below), whose sum is σ = 28468944. Its totient is φ = 5196672.

The previous prime is 13140749. The next prime is 13140769. The reversal of 13140764 is 46704131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3344 + ... + 6120.

It is an arithmetic number, because the mean of its divisors is an integer number (790804).

Almost surely, 2^13140764 is an apocalyptic number.

13140764 is a gapful number since it is divisible by the number (14) 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 13140764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234472).

13140764 is an abundant number, since it is smaller than the sum of its proper divisors (15328180).

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

13140764 is a wasteful number, since it uses less digits than its factorization.

13140764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 13140764 is about 3625.0191723631. The cubic root of 13140764 is about 235.9790989821.

Adding to 13140764 its reverse (46704131), we get a palindrome (59844895).

The spelling of 13140764 in words is "thirteen million, one hundred forty thousand, seven hundred sixty-four".