14257320 has 128 divisors (see below), whose sum is σ = 53360640. Its totient is φ = 2960640.

The previous prime is 14257301. The next prime is 14257333. The reversal of 14257320 is 2375241.

14257320 = T₃₅₁ + T₃₅₂ + ... + T₅₀₄.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 8469 + ... + 10011.

It is an arithmetic number, because the mean of its divisors is an integer number (416880).

Almost surely, 2^14257320 is an apocalyptic number.

14257320 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 14257320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26680320).

14257320 is an abundant number, since it is smaller than the sum of its proper divisors (39103320).

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

14257320 is a wasteful number, since it uses less digits than its factorization.

14257320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 14257320 is about 3775.8866508411. The cubic root of 14257320 is about 242.4818847842.

The spelling of 14257320 in words is "fourteen million, two hundred fifty-seven thousand, three hundred twenty".