14541520 has 80 divisors (see below), whose sum is σ = 40354560. Its totient is φ = 4764672.

The previous prime is 14541503. The next prime is 14541521. The reversal of 14541520 is 2514541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14541520² = 422911607820800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14541491 and 14541500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14541521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12316 + ... + 13444.

It is an arithmetic number, because the mean of its divisors is an integer number (504432).

Almost surely, 2^14541520 is an apocalyptic number.

14541520 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 14541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20177280).

14541520 is an abundant number, since it is smaller than the sum of its proper divisors (25813040).

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

14541520 is a wasteful number, since it uses less digits than its factorization.

14541520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 14541520 is about 3813.3344988343. The cubic root of 14541520 is about 244.0824768211.

The spelling of 14541520 in words is "fourteen million, five hundred forty-one thousand, five hundred twenty".