14555920 has 40 divisors (see below), whose sum is σ = 34491096. Its totient is φ = 5710848.

The previous prime is 14555909. The next prime is 14555939. The reversal of 14555920 is 2955541.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 12845056 = 1308^2 + 3584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2524 + ... + 5956.

Almost surely, 2^14555920 is an apocalyptic number.

14555920 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 14555920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245548).

14555920 is an abundant number, since it is smaller than the sum of its proper divisors (19935176).

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

14555920 is a wasteful number, since it uses less digits than its factorization.

14555920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 14555920 is about 3815.2221429427. Note that the first 3 decimals coincide. The cubic root of 14555920 is about 244.1630192520.

It can be divided in two parts, 145 and 55920, that added together give a palindrome (56065).

The spelling of 14555920 in words is "fourteen million, five hundred fifty-five thousand, nine hundred twenty".