13378764 has 72 divisors (see below), whose sum is σ = 37008048. Its totient is φ = 3749760.

The previous prime is 13378741. The next prime is 13378777. The reversal of 13378764 is 46787331.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35682 + ... + 36054.

Almost surely, 2^13378764 is an apocalyptic number.

13378764 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 13378764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18504024).

13378764 is an abundant number, since it is smaller than the sum of its proper divisors (23629284).

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

13378764 is a wasteful number, since it uses less digits than its factorization.

13378764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 13378764 is about 3657.6992768679. The cubic root of 13378764 is about 237.3952350491.

It can be divided in two parts, 1337 and 8764, that added together give a palindrome (10101).

The spelling of 13378764 in words is "thirteen million, three hundred seventy-eight thousand, seven hundred sixty-four".