14465920 has 64 divisors (see below), whose sum is σ = 39535200. Its totient is φ = 4958208.

The previous prime is 14465917. The next prime is 14465923. The reversal of 14465920 is 2956441.

14465920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14465917) and next prime (14465923).

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14465923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2866 + ... + 6094.

Almost surely, 2^14465920 is an apocalyptic number.

14465920 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 14465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767600).

14465920 is an abundant number, since it is smaller than the sum of its proper divisors (25069280).

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

14465920 is an equidigital number, since it uses as much as digits as its factorization.

14465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 14465920 is about 3803.4089972024. The cubic root of 14465920 is about 243.6587543636.

The spelling of 14465920 in words is "fourteen million, four hundred sixty-five thousand, nine hundred twenty".