14919920 has 80 divisors (see below), whose sum is σ = 36828000. Its totient is φ = 5612544.

The previous prime is 14919913. The next prime is 14919923. The reversal of 14919920 is 2991941.

14919920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14919923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136826 + ... + 136934.

It is an arithmetic number, because the mean of its divisors is an integer number (460350).

Almost surely, 2^14919920 is an apocalyptic number.

14919920 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 14919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414000).

14919920 is an abundant number, since it is smaller than the sum of its proper divisors (21908080).

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

14919920 is a wasteful number, since it uses less digits than its factorization.

14919920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 14919920 is about 3862.6312275443. The cubic root of 14919920 is about 246.1815479641.

It can be divided in two parts, 1491 and 9920, that added together give a palindrome (11411).

The spelling of 14919920 in words is "fourteen million, nine hundred nineteen thousand, nine hundred twenty".