13873860 has 324 divisors, whose sum is σ = 57949164. Its totient is φ = 2661120.

The previous prime is 13873829. The next prime is 13873877. The reversal of 13873860 is 6837831.

13873860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 10458756 = 1848^2 + 3234^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1067214 + ... + 1067226.

Almost surely, 2^13873860 is an apocalyptic number.

13873860 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 13873860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28974582).

13873860 is an abundant number, since it is smaller than the sum of its proper divisors (44075304).

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

13873860 is a wasteful number, since it uses less digits than its factorization.

13873860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13873860 is about 3724.7630797139. The cubic root of 13873860 is about 240.2881954589.

The spelling of 13873860 in words is "thirteen million, eight hundred seventy-three thousand, eight hundred sixty".