13783680 has 96 divisors (see below), whose sum is σ = 47616660. Its totient is φ = 3674112.

The previous prime is 13783663. The next prime is 13783699. The reversal of 13783680 is 8638731.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 2005056 = 3432^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4564 + ... + 6956.

Almost surely, 2^13783680 is an apocalyptic number.

13783680 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 13783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808330).

13783680 is an abundant number, since it is smaller than the sum of its proper divisors (33832980).

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

13783680 is a wasteful number, since it uses less digits than its factorization.

13783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2403 counting only the distinct ones).

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

The square root of 13783680 is about 3712.6378762276. The cubic root of 13783680 is about 239.7664394465.

The spelling of 13783680 in words is "thirteen million, seven hundred eighty-three thousand, six hundred eighty".