14364000 has 384 divisors, whose sum is σ = 62899200. Its totient is φ = 3110400.

The previous prime is 14363989. The next prime is 14364011. The reversal of 14364000 is 46341.

14364000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14363989) and next prime (14364011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755991 + ... + 756009.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^14364000 is an apocalyptic number.

14364000 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 14364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

14364000 is an abundant number, since it is smaller than the sum of its proper divisors (48535200).

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

14364000 is a wasteful number, since it uses less digits than its factorization.

14364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14364000 is about 3789.9868073649. The cubic root of 14364000 is about 243.0851705713.

The spelling of 14364000 in words is "fourteen million, three hundred sixty-four thousand".