13844880 has 240 divisors, whose sum is σ = 55246464. Its totient is φ = 3041280.

The previous prime is 13844869. The next prime is 13844891. The reversal of 13844880 is 8844831.

13844880 is a `hidden beast` number, since 138 + 448 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13844869) and next prime (13844891).

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 (36).

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, 206607 + ... + 206673.

Almost surely, 2^13844880 is an apocalyptic number.

13844880 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 13844880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623232).

13844880 is an abundant number, since it is smaller than the sum of its proper divisors (41401584).

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

13844880 is a wasteful number, since it uses less digits than its factorization.

13844880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 13844880 is about 3720.8708658055. The cubic root of 13844880 is about 240.1207725481.

It can be divided in two parts, 138 and 44880, that multiplied together give a triangular number (6193440 = T₃₅₁₉).

The spelling of 13844880 in words is "thirteen million, eight hundred forty-four thousand, eight hundred eighty".