14258640 has 120 divisors (see below), whose sum is σ = 48684384. Its totient is φ = 3449600.

The previous prime is 14258623. The next prime is 14258641. The reversal of 14258640 is 4685241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14258598 and 14258607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14258641) 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 23 ways as a sum of consecutive naturals, for example, 28795 + ... + 29285.

Almost surely, 2^14258640 is an apocalyptic number.

14258640 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 14258640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24342192).

14258640 is an abundant number, since it is smaller than the sum of its proper divisors (34425744).

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

14258640 is a wasteful number, since it uses less digits than its factorization.

14258640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 14258640 is about 3776.0614401781. The cubic root of 14258640 is about 242.4893678691.

The spelling of 14258640 in words is "fourteen million, two hundred fifty-eight thousand, six hundred forty".