13895280 has 160 divisors (see below), whose sum is σ = 54758400. Its totient is φ = 3172608.

The previous prime is 13895249. The next prime is 13895281. The reversal of 13895280 is 8259831.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13895281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14661 + ... + 15579.

It is an arithmetic number, because the mean of its divisors is an integer number (342240).

Almost surely, 2^13895280 is an apocalyptic number.

13895280 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 13895280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27379200).

13895280 is an abundant number, since it is smaller than the sum of its proper divisors (40863120).

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

13895280 is a wasteful number, since it uses less digits than its factorization.

13895280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13895280 is about 3727.6373214142. The cubic root of 13895280 is about 240.4117930396.

The spelling of 13895280 in words is "thirteen million, eight hundred ninety-five thousand, two hundred eighty".