14245920 has 144 divisors (see below), whose sum is σ = 52422552. Its totient is φ = 3502080.

The previous prime is 14245919. The next prime is 14245961. The reversal of 14245920 is 2954241.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 10419984 = 1956^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18340 + ... + 19100.

Almost surely, 2^14245920 is an apocalyptic number.

14245920 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 14245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211276).

14245920 is an abundant number, since it is smaller than the sum of its proper divisors (38176632).

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

14245920 is a wasteful number, since it uses less digits than its factorization.

14245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14245920 is about 3774.3767697462. The cubic root of 14245920 is about 242.4172389138.

The spelling of 14245920 in words is "fourteen million, two hundred forty-five thousand, nine hundred twenty".