13854720 has 192 divisors, whose sum is σ = 49533120. Its totient is φ = 3276800.

The previous prime is 13854683. The next prime is 13854733. The reversal of 13854720 is 2745831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337900 + ... + 337940.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^13854720 is an apocalyptic number.

13854720 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 13854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

13854720 is an abundant number, since it is smaller than the sum of its proper divisors (35678400).

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

13854720 is a wasteful number, since it uses less digits than its factorization.

13854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13854720 is about 3722.1929020404. The cubic root of 13854720 is about 240.1776462529.

Subtracting from 13854720 its reverse (2745831), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1385 and 4720, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 13854720 in words is "thirteen million, eight hundred fifty-four thousand, seven hundred twenty".