13852080 has 240 divisors, whose sum is σ = 53434080. Its totient is φ = 3294720.

The previous prime is 13852067. The next prime is 13852081. The reversal of 13852080 is 8025831.

It is a happy number.

13852080 is a `hidden beast` number, since 138 + 520 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13852081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261334 + ... + 261386.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 2^13852080 is an apocalyptic number.

13852080 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 13852080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

13852080 is an abundant number, since it is smaller than the sum of its proper divisors (39582000).

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

13852080 is a wasteful number, since it uses less digits than its factorization.

13852080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13852080 is about 3721.8382554861. The cubic root of 13852080 is about 240.1623900980.

The spelling of 13852080 in words is "thirteen million, eight hundred fifty-two thousand, eighty".