14641920 has 216 divisors, whose sum is σ = 53569152. Its totient is φ = 3686400.

The previous prime is 14641919. The next prime is 14641927. The reversal of 14641920 is 2914641.

14641920 is a `hidden beast` number, since 14 + 641 + 9 + 2 + 0 = 666.

14641920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14641927) 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, 357100 + ... + 357140.

Almost surely, 2^14641920 is an apocalyptic number.

14641920 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 14641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784576).

14641920 is an abundant number, since it is smaller than the sum of its proper divisors (38927232).

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

14641920 is a wasteful number, since it uses less digits than its factorization.

14641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14641920 is about 3826.4761857354. The cubic root of 14641920 is about 244.6429339767.

The spelling of 14641920 in words is "fourteen million, six hundred forty-one thousand, nine hundred twenty".