14731920 has 240 divisors, whose sum is σ = 58805760. Its totient is φ = 3234816.

The previous prime is 14731901. The next prime is 14731921. The reversal of 14731920 is 2913741.

14731920 is a `hidden beast` number, since 1 + 473 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (14731921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186441 + ... + 186519.

It is an arithmetic number, because the mean of its divisors is an integer number (245024).

Almost surely, 2^14731920 is an apocalyptic number.

14731920 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 14731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29402880).

14731920 is an abundant number, since it is smaller than the sum of its proper divisors (44073840).

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

14731920 is a wasteful number, since it uses less digits than its factorization.

14731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14731920 is about 3838.2183366765. The cubic root of 14731920 is about 245.1431621987.

It can be divided in two parts, 14731 and 920, that added together give a palindrome (15651).

The spelling of 14731920 in words is "fourteen million, seven hundred thirty-one thousand, nine hundred twenty".