14264000 has 56 divisors (see below), whose sum is σ = 35344608. Its totient is φ = 5702400.

The previous prime is 14263993. The next prime is 14264009. The reversal of 14264000 is 46241.

It is a self number, because there is not a number n which added to its sum of digits gives 14264000.

It is not an unprimeable number, because it can be changed into a prime (14264009) 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 7 ways as a sum of consecutive naturals, for example, 7109 + ... + 8891.

Almost surely, 2^14264000 is an apocalyptic number.

14264000 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 14264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17672304).

14264000 is an abundant number, since it is smaller than the sum of its proper divisors (21080608).

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

14264000 is an equidigital number, since it uses as much as digits as its factorization.

14264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 14264000 is about 3776.7711077056. The cubic root of 14264000 is about 242.5197489850.

The spelling of 14264000 in words is "fourteen million, two hundred sixty-four thousand".