13804784 has 60 divisors (see below), whose sum is σ = 32091696. Its totient is φ = 5634816.

The previous prime is 13804759. The next prime is 13804787. The reversal of 13804784 is 48740831.

It is a happy number.

It is a super-2 number, since 2×13804784² = 381144122573312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13804787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59132 + ... + 59364.

Almost surely, 2^13804784 is an apocalyptic number.

13804784 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 13804784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045848).

13804784 is an abundant number, since it is smaller than the sum of its proper divisors (18286912).

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

13804784 is a wasteful number, since it uses less digits than its factorization.

13804784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 13804784 is about 3715.4789731608. The cubic root of 13804784 is about 239.8887447304. Note that the first 3 decimals are identical.

The spelling of 13804784 in words is "thirteen million, eight hundred four thousand, seven hundred eighty-four".