13853280 has 288 divisors, whose sum is σ = 55157760. Its totient is φ = 2903040.

The previous prime is 13853269. The next prime is 13853293. The reversal of 13853280 is 8235831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446865 + ... + 446895.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 2^13853280 is an apocalyptic number.

13853280 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 13853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

13853280 is an abundant number, since it is smaller than the sum of its proper divisors (41304480).

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

13853280 is a wasteful number, since it uses less digits than its factorization.

13853280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 13853280 is about 3721.9994626544. Note that the first 3 decimals coincide. The cubic root of 13853280 is about 240.1693249541.

The spelling of 13853280 in words is "thirteen million, eight hundred fifty-three thousand, two hundred eighty".