13871200 has 72 divisors (see below), whose sum is σ = 38716272. Its totient is φ = 4753920.

The previous prime is 13871183. The next prime is 13871233. The reversal of 13871200 is 217831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4362 + ... + 6838.

It is an arithmetic number, because the mean of its divisors is an integer number (537726).

Almost surely, 2^13871200 is an apocalyptic number.

13871200 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 13871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19358136).

13871200 is an abundant number, since it is smaller than the sum of its proper divisors (24845072).

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

13871200 is a wasteful number, since it uses less digits than its factorization.

13871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 13871200 is about 3724.4059929068. The cubic root of 13871200 is about 240.2728378619.

It can be divided in two parts, 1387 and 1200, that multiplied together give a triangular number (1664400 = T₁₈₂₄).

The spelling of 13871200 in words is "thirteen million, eight hundred seventy-one thousand, two hundred".