14064400 has 60 divisors (see below), whose sum is σ = 38624512. Its totient is φ = 4821120.

The previous prime is 14064371. The next prime is 14064409. The reversal of 14064400 is 446041.

It is not an unprimeable number, because it can be changed into a prime (14064409) 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 11 ways as a sum of consecutive naturals, for example, 289 + ... + 5311.

Almost surely, 2^14064400 is an apocalyptic number.

14064400 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 14064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312256).

14064400 is an abundant number, since it is smaller than the sum of its proper divisors (24560112).

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

14064400 is a wasteful number, since it uses less digits than its factorization.

14064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 14064400 is about 3750.2533247769. The cubic root of 14064400 is about 241.3832163572.

The spelling of 14064400 in words is "fourteen million, sixty-four thousand, four hundred".