14219920 has 120 divisors (see below), whose sum is σ = 39481848. Its totient is φ = 4730880.

The previous prime is 14219873. The next prime is 14219927. The reversal of 14219920 is 2991241.

It is a happy number.

14219920 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 4 ways, for example, as 559504 + 13660416 = 748^2 + 3696^2 .

It is a super-2 number, since 2×14219920² = 404412249612800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14219927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125784 + ... + 125896.

Almost surely, 2^14219920 is an apocalyptic number.

14219920 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 14219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740924).

14219920 is an abundant number, since it is smaller than the sum of its proper divisors (25261928).

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

14219920 is a wasteful number, since it uses less digits than its factorization.

14219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 14219920 is about 3770.9309195476. The cubic root of 14219920 is about 242.2696718323.

The spelling of 14219920 in words is "fourteen million, two hundred nineteen thousand, nine hundred twenty".