13768380 has 72 divisors (see below), whose sum is σ = 43326192. Its totient is φ = 3670272.

The previous prime is 13768379. The next prime is 13768387. The reversal of 13768380 is 8386731.

13768380 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3444 + ... + 6276.

Almost surely, 2^13768380 is an apocalyptic number.

13768380 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 13768380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663096).

13768380 is an abundant number, since it is smaller than the sum of its proper divisors (29557812).

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

13768380 is a wasteful number, since it uses less digits than its factorization.

13768380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13768380 is about 3710.5767745729. The cubic root of 13768380 is about 239.6776923512.

The spelling of 13768380 in words is "thirteen million, seven hundred sixty-eight thousand, three hundred eighty".