13784736 has 96 divisors (see below), whose sum is σ = 42069888. Its totient is φ = 3870720.

The previous prime is 13784713. The next prime is 13784761. The reversal of 13784736 is 63748731.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13784694 and 13784703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48916 + ... + 49196.

It is an arithmetic number, because the mean of its divisors is an integer number (438228).

Almost surely, 2^13784736 is an apocalyptic number.

13784736 is a gapful number since it is divisible by the number (16) 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 13784736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034944).

13784736 is an abundant number, since it is smaller than the sum of its proper divisors (28285152).

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

13784736 is a wasteful number, since it uses less digits than its factorization.

13784736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

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

The square root of 13784736 is about 3712.7800904444. The cubic root of 13784736 is about 239.7725623129.

The spelling of 13784736 in words is "thirteen million, seven hundred eighty-four thousand, seven hundred thirty-six".