14064000 has 128 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 3737600.

The previous prime is 14063999. The next prime is 14064013. The reversal of 14064000 is 46041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47854 + ... + 48146.

Almost surely, 2^14064000 is an apocalyptic number.

14064000 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 14064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

14064000 is an abundant number, since it is smaller than the sum of its proper divisors (32717280).

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

14064000 is an equidigital number, since it uses as much as digits as its factorization.

14064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14064000 is about 3750.1999946670. The cubic root of 14064000 is about 241.3809279741.

The spelling of 14064000 in words is "fourteen million, sixty-four thousand".