14845920 has 96 divisors (see below), whose sum is σ = 47301408. Its totient is φ = 3913728.

The previous prime is 14845891. The next prime is 14845921. The reversal of 14845920 is 2954841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14845921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75262 + ... + 75458.

It is an arithmetic number, because the mean of its divisors is an integer number (492723).

Almost surely, 2^14845920 is an apocalyptic number.

14845920 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 14845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23650704).

14845920 is an abundant number, since it is smaller than the sum of its proper divisors (32455488).

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

14845920 is a wasteful number, since it uses less digits than its factorization.

14845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 14845920 is about 3853.0403579511. The cubic root of 14845920 is about 245.7738684733.

The spelling of 14845920 in words is "fourteen million, eight hundred forty-five thousand, nine hundred twenty".