13865280 has 224 divisors, whose sum is σ = 52230528. Its totient is φ = 3072000.

The previous prime is 13865261. The next prime is 13865303. The reversal of 13865280 is 8256831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137230 + ... + 137330.

It is an arithmetic number, because the mean of its divisors is an integer number (233172).

Almost surely, 2^13865280 is an apocalyptic number.

13865280 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 13865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115264).

13865280 is an abundant number, since it is smaller than the sum of its proper divisors (38365248).

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

13865280 is a wasteful number, since it uses less digits than its factorization.

13865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 13865280 is about 3723.6111504828. The cubic root of 13865280 is about 240.2386514997.

It can be divided in two parts, 1386 and 5280, that added together give a palindrome (6666).

The spelling of 13865280 in words is "thirteen million, eight hundred sixty-five thousand, two hundred eighty".