13180384 has 48 divisors (see below), whose sum is σ = 30693600. Its totient is φ = 5451264.

The previous prime is 13180381. The next prime is 13180421. The reversal of 13180384 is 48308131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13180381) 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 7 ways as a sum of consecutive naturals, for example, 5482 + ... + 7510.

It is an arithmetic number, because the mean of its divisors is an integer number (639450).

Almost surely, 2^13180384 is an apocalyptic number.

13180384 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 13180384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15346800).

13180384 is an abundant number, since it is smaller than the sum of its proper divisors (17513216).

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

13180384 is a wasteful number, since it uses less digits than its factorization.

13180384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 13180384 is about 3630.4798580904. The cubic root of 13180384 is about 236.2160235939.

The spelling of 13180384 in words is "thirteen million, one hundred eighty thousand, three hundred eighty-four".