13865120 has 48 divisors (see below), whose sum is σ = 32999400. Its totient is φ = 5505024.

The previous prime is 13865101. The next prime is 13865147. The reversal of 13865120 is 2156831.

It can be written as a sum of positive squares in 4 ways, for example, as 10163344 + 3701776 = 3188^2 + 1924^2 .

It is a super-2 number, since 2×13865120² = 384483105228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13865120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30656 + ... + 31104.

Almost surely, 2^13865120 is an apocalyptic number.

13865120 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 13865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499700).

13865120 is an abundant number, since it is smaller than the sum of its proper divisors (19134280).

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

13865120 is a wasteful number, since it uses less digits than its factorization.

13865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 13865120 is about 3723.5896659004. The cubic root of 13865120 is about 240.2377274089.

The spelling of 13865120 in words is "thirteen million, eight hundred sixty-five thousand, one hundred twenty".