14505920 has 112 divisors (see below), whose sum is σ = 40709088. Its totient is φ = 4853760.

The previous prime is 14505919. The next prime is 14505929. The reversal of 14505920 is 2950541.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 14505920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14505929) 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, 45602 + ... + 45918.

It is an arithmetic number, because the mean of its divisors is an integer number (363474).

Almost surely, 2^14505920 is an apocalyptic number.

14505920 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 14505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354544).

14505920 is an abundant number, since it is smaller than the sum of its proper divisors (26203168).

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

14505920 is a wasteful number, since it uses less digits than its factorization.

14505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 14505920 is about 3808.6638076890. The cubic root of 14505920 is about 243.8831295543.

The spelling of 14505920 in words is "fourteen million, five hundred five thousand, nine hundred twenty".